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Detailed Chapter 2 Consumers Equilibrium RBSE Solutions for Class 12 Economics
For Class 12 students, solving RBSE textbook questions is the most effective way to build a strong conceptual foundation. Our Class 12 Economics solutions follow a detailed, step-by-step approach to ensure you understand the logic behind every answer. Practicing these Chapter 2 Consumers Equilibrium solutions will improve your exam performance.
Class 12 Economics Chapter 2 Consumers Equilibrium RBSE Solutions PDF
Rbse Class 12 Economics Chapter 2 Practice Questions
Rbse Class 12 Economics Chapter 2 Multiple Choice Questions
Question 1. Calculation of marginal utility of nth unit is as follows:
(a) \( MU_n = TU_n - TU_{n-1} \)
(b) \( MU = \frac { TU_n - TU_{n-1} }{ 2 } \)
(c) \( MU_n = TU_n - TU_{n+1} \)
(d) \( MU_n = TU_n + TU_{n+1} \)
Answer: (a) \( MU_n = TU_n - TU_{n-1} \)
In simple words: Marginal utility for any unit is found by taking the total utility of that unit and subtracting the total utility of the unit just before it. It helps measure the extra satisfaction from one more unit.
🎯 Exam Tip: Remember the marginal utility formula subtracts the total utility of the previous unit, not the next or an average.
Question 2. The condition of equilibrium in case of two goods is :
Answer: (b)
In simple words: For a consumer to be in balance with two goods, the extra satisfaction gained per rupee spent on one good must be equal to the extra satisfaction gained per rupee spent on the other good. This ensures the best use of money.
🎯 Exam Tip: In MCQ questions about equilibrium conditions, look for options that equate the marginal utility to price ratios for all goods involved.
Question 3. In cardinal approach, what do we measure in utils?
(a) Marginal utility
(b) Total utility
(c) Utility
(d) All of the options
Answer: (d) All of the options
In simple words: In the cardinal way of thinking, we measure all types of utility, like the extra utility from one more item, the total utility from all items, and just utility in general, using a made-up unit called "utils."
🎯 Exam Tip: The cardinal approach assumes utility is measurable in discrete units like "utils," allowing for numerical comparisons of satisfaction.
Question 4. Attribute of utility is :
(a) it changes from commodity to commodity
(b) it changes from time to time
(c) it changes from person to person
(d) All of the options
Answer: (d) All of the options
In simple words: Utility is not fixed; it changes depending on the item, the specific moment, and who is using it. This means that what one person finds useful might not be useful to another, or even to the same person at a different time.
🎯 Exam Tip: Remember that utility is subjective and situational, meaning it's not a universal or constant value.
Question 5. Slope of an indifference curve :
(a) diminishes from left to right
(b) increases from left to right
(c) is equal to x axis
(d) is zero
Answer: (a) diminishes from left to right
In simple words: As you move along an indifference curve from left to right, its slope gets flatter. This shows that people are willing to give up less and less of one good to get more of another, while still keeping the same happiness level.
🎯 Exam Tip: The diminishing slope of an indifference curve reflects the law of diminishing marginal rate of substitution.
Rbse Class 12 Economics Chapter 2 Very Short Answer Type Questions
Question 1. Define indifference curve.
Answer: An indifference curve shows all the different combinations of two goods that give a consumer the same level of satisfaction or happiness. This means the consumer is equally happy with any point on that curve. The curve helps us understand consumer preferences without using exact numbers.
In simple words: It's a line on a graph connecting different mixes of two items that make someone equally happy.
🎯 Exam Tip: When defining an indifference curve, always highlight that all points on the curve represent an equal level of consumer satisfaction.
Question 2. What is the condition of equilibrium in case of two goods?
Answer: The condition of equilibrium for two goods is when the ratio of marginal utility to price for good X is equal to the ratio of marginal utility to price for good Y.
\[ \frac { MU_x }{ P_x } = \frac { MU_y }{ P_y } \]
In simple words: A consumer is balanced when the extra happiness per rupee from one item is the same as the extra happiness per rupee from another item.
🎯 Exam Tip: Write down the full formula for the equilibrium condition for two goods, ensuring correct symbols and subscripts.
Question 3. Define marginal rate of substitution.
Answer: The marginal rate of substitution (MRS) is how much of one good a consumer is willing to give up to get one more unit of another good, while still keeping the same overall level of satisfaction. This rate shows the trade-off a consumer makes between two goods.
In simple words: It's how much of one thing you give up to get a little more of another, without changing your happiness.
🎯 Exam Tip: Clearly state that MRS is about maintaining the same satisfaction level during a trade-off between goods.
Question 4. Why is indifference curve convex to origin?
Answer: The indifference curve is convex (bowed inwards) towards the origin because:
1. The two goods are not perfect substitutes for each other. This means they cannot be perfectly exchanged at a constant rate.
2. The marginal rate of substitution (MRS) between the two goods decreases as a consumer moves along the curve. This means as a consumer has more of one good, they are willing to give up less of the other good to get even more of the first.
In simple words: Indifference curves bend inwards because items aren't perfect swaps, and people want less of something they already have a lot of.
🎯 Exam Tip: The main reason for convexity is the diminishing marginal rate of substitution, which should always be highlighted.
Question 5. Write the mathematical form of budget line.
Answer: The mathematical form of a budget line is given by: \( M = X.P_x + Y.P_y \). Here, \( M \) represents the consumer's total income, \( X \) is the quantity of good X, \( P_x \) is the price of good X, \( Y \) is the quantity of good Y, and \( P_y \) is the price of good Y. This equation shows all the combinations of two goods a consumer can buy with their given income and prices.
In simple words: The budget line formula shows that your total money is equal to the cost of good X plus the cost of good Y.
🎯 Exam Tip: Make sure to clearly define all variables used in the budget line equation to ensure full understanding.
Rbse Class 12 Economics Chapter 2 Short Answer Type Questions
Question 1. State the assumptions of indifference curve.
Answer: The main assumptions of indifference curve analysis are:
(i) More Goods Are Better Than Less: Consumers always prefer a larger amount of quality goods over a smaller amount, as long as other conditions remain the same. This means more is always preferred to less.
(iii) Utility is Ordinal: It is believed that consumers can rank different combinations of goods based on their preferences, rather than assigning them exact numerical utility values. They can say they prefer A to B, but not by how much.
(iv) Diminishing Marginal Rate of Substitution: This principle states that as a consumer gets more of one good, they are willing to give up less and less of another good to get an additional unit of the first, while maintaining the same level of satisfaction. This is because specific desires become less intense as they are satisfied.
In simple words: People always want more, can compare choices, and will give up less of one item for more of another as they get more of it.
🎯 Exam Tip: List at least three core assumptions, ensuring you explain each one clearly rather than just naming them.
Question 2. Explain the effects on budget line due to the changes in income with the help of a diagram.
Answer: Changes in a consumer's income can shift the budget line, showing how their purchasing power changes for two goods (X and Y), assuming prices stay the same. If income increases, the budget line shifts upwards and to the right, parallel to the original line, showing that the consumer can now buy more of both goods. Conversely, if income decreases, the budget line shifts downwards and to the left, also parallel, indicating reduced purchasing power.
When income increases:
The initial budget line is MN. When income increases, the consumer can afford more of both goods. This causes the budget line to shift outwards to M\( _1 \)N\( _1 \).
When income decreases:
If the initial budget line is MN and income decreases, the consumer can afford less of both goods. This causes the budget line to shift inwards to M\( _1 \)N\( _1 \).
In simple words: When a person earns more money, their spending line moves outwards, letting them buy more. When they earn less, the line moves inwards, meaning they can buy less.
🎯 Exam Tip: Always show parallel shifts of the budget line for income changes, as prices of goods are assumed to remain constant.
Question 3. Write down assumptions of law of diminishing marginal utility.
Answer: The assumptions for the law of diminishing marginal utility are:
1. The consumer's behavior is assumed to be rational, meaning they aim to maximize their satisfaction.
2. Utility is measurable, and money is used as a way to measure it.
3. The marginal utility of money itself is assumed to stay the same; it doesn't change as income or spending changes.
4. The process of consumption is continuous, meaning the consumer uses items one after another without long breaks.
5. The consumer's income, habits, interests, and fashion trends do not change over time.
6. The units of the commodity used should be of an appropriate size and uniform in quality.
In simple words: This rule works if people are smart about spending, utility can be counted, money's value stays steady, consumption is ongoing, and tastes or income don't change.
🎯 Exam Tip: Focus on the "rational consumer" and "homogeneous units" assumptions as they are fundamental to the law.
Question 4. Write down the main characteristics of indifference curve.
Answer: The main characteristics of an indifference curve are:
(i) Indifference Curve has a Negative Slope: This means that indifference curves always slope downwards from left to right. This negative slope shows that if a consumer wants to increase their consumption of one good, they must decrease the consumption of another good to maintain the same level of satisfaction. This also implies that the two goods can be substituted for one another.
(ii) Indifference Curves are Convex to the Origin: This convexity means that the curve bends inwards towards the origin. This shape shows that the marginal rate of substitution (MRS) between the two goods decreases as a consumer moves along the indifference curve.
(a) The convexity suggests that the two goods are imperfect substitutes for one another.
(b) The marginal rate of substitution between the two goods decreases as a consumer moves along an indifference curve. This happens because as a consumer gets more of one good, its extra satisfaction decreases, so they are willing to give up less of the other good for an additional unit of the first.
(iii) Indifference Curves Do Not Intersect Nor are Tangent to One Another: Each indifference curve represents a different level of satisfaction. If two indifference curves were to intersect, it would mean that a single point provides two different levels of satisfaction, which is not logical. Similarly, if they were tangent, it would imply the same illogical scenario.
(iv) Higher Indifference Curves Represent a Higher Level of Satisfaction Than the Lower Ones: An indifference curve that is further away from the origin (upwards and to the right) represents a higher level of satisfaction compared to a curve closer to the origin. This is because a higher indifference curve allows the consumer to access larger quantities of one or both goods.
In simple words: Indifference curves always slope down, bend inwards, never cross, and curves higher up mean more happiness.
🎯 Exam Tip: Illustrate each characteristic with a small sketch if possible, or use clear verbal descriptions. Emphasize why non-intersection is crucial.
Rbse Class 12 Economics Chapter 2 Essay Type Questions
Question 1. Explain consumer's equilibrium in cardinal approach.
Answer: In the cardinal utility approach, consumer's equilibrium is achieved when the consumer maximizes the total satisfaction from their spending. This happens when the marginal utility (extra satisfaction from one more unit) per rupee spent on each good is equal. For a single commodity (X), a consumer reaches equilibrium when the marginal utility of X (MUx) equals its price (Px) multiplied by the marginal utility of money (MUm). If we assume the marginal utility of money is 1, then the condition simplifies to \( MU_x = P_x \).
This means the extra satisfaction gained from consuming the last unit of good X is exactly equal to the satisfaction lost by paying its price. If \( MU_x > P_x \), the consumer would buy more X to increase satisfaction. If \( MU_x < P_x \), they would buy less. When \( MU_x = P_x \), the consumer is at their highest satisfaction level, given their income and the price of the good. The consumer will continue exchanging their money for commodity X as long as the marginal utility derived from commodity X is greater than the marginal utility of money income.
\[ MU_x = P_x (MU_m) \] (where \( MU_m = 1 \))
Alternatively, equilibrium is when:
\[ \frac { MU_x }{ P_x (MU_m) } = 1 \]
In simple words: A consumer is balanced when they get the most happiness for their money. For one item, this happens when the extra happiness from buying it equals the price paid for it.
🎯 Exam Tip: Clearly state the equilibrium condition \( MU_x = P_x \) (assuming \( MU_m = 1 \)) and explain what happens if \( MU_x \) is greater or less than \( P_x \).
Question 2. Explain conditions of consumer's equilibrium with the help of indifference curve.
Answer: A consumer reaches equilibrium in the indifference curve approach when they maximize their total utility, given their income and the prices of goods. This is typically for two goods. For the consumer to be in equilibrium, two main conditions must be met:
(i) Price Line is Tangent to Indifference Curve: The consumer will be in equilibrium at the point where their budget line (price line) touches, or is tangent to, the highest possible indifference curve. At this point, the slope of the budget line is equal to the slope of the indifference curve. This point represents the maximum satisfaction the consumer can achieve with their limited income.
(ii) Price Ratios Equal Marginal Rate of Substitution: At the equilibrium point, the marginal rate of substitution (MRS) between the two goods (X and Y) must be equal to the ratio of their prices. This means:
\[ MRS_{xy} = \frac { P_x }{ P_y } \]
This condition is essential because it shows that the rate at which the consumer is willing to trade one good for another (MRS) is exactly equal to the rate at which they can trade them in the market (price ratio).
(iii) Indifference Curve is Convex to the Origin: The indifference curve at the point of equilibrium must be convex to the origin. This ensures that the MRS is diminishing, meaning that as the consumer substitutes one good for another, the willingness to give up the second good for the first decreases. This condition guarantees a stable equilibrium.
Diagrammatic Representation of Consumer's Equilibrium:
To find consumer's equilibrium, we draw an indifference map (a set of indifference curves) along with the budget line. Indifference curves closer to the origin show less satisfaction, while those further away show higher satisfaction. Given the budget line, the consumer tries to reach the highest possible indifference curve. In the figure, PT is the budget line, and IC1, IC2, and IC3 are three indifference curves. The consumer can achieve maximum satisfaction at point C on IC2, where the budget line AB is tangent to indifference curve IC2. At this point, the consumer purchases OH amount of X and OE amount of Y.
Conclusion: The ordinal approach (using indifference curves) is generally considered superior to the cardinal approach because it does not rely on the unrealistic assumption that utility can be measured numerically.
In simple words: A consumer is balanced when their money line touches their highest happiness line, meaning they're getting the most out of their budget. This happens when their willingness to swap items matches the market's price for swapping.
🎯 Exam Tip: Always draw the budget line tangent to the highest possible indifference curve to show equilibrium, and label all axes and curves clearly.
Question 3. Explain the characteristics of indifference curve analysis.
Answer: The main characteristics of indifference curve analysis are:
(i) Indifference Curve Has a Negative Slope: Indifference curves always slope downwards from left to right. This negative slope indicates that to increase the consumption of one good (e.g., Good 1), the consumer must decrease the consumption of the other good (e.g., Good 2) to maintain the same level of satisfaction. This shows the trade-off between the two goods.
(ii) Indifference Curves are Convex to the Origin: The indifference curves are typically bowed inwards towards the origin. This shape reflects the diminishing marginal rate of substitution (MRS).
(a) This indicates that the two goods are imperfect substitutes for each other.
(b) As a consumer moves along an indifference curve, the marginal rate of substitution between the two goods decreases. This means that as a consumer consumes more of one good, they are willing to give up smaller and smaller amounts of the other good for an additional unit of the first, while maintaining the same satisfaction level. This convexity is based on the idea that the desire for a particular good decreases as more of it is consumed.
(iii) Indifference Curves Do Not Intersect Nor are Tangent to One Another: Each indifference curve represents a distinct level of satisfaction. If two indifference curves were to cross or touch, it would imply that a single point on the graph could offer two different levels of satisfaction, which is illogical. This would violate the transitivity rule of consumer preferences, a basic logical necessity in indifference curve analysis.
(iv) Higher Indifference Curves Represent a Higher Level of Satisfaction Than the Lower Ones: An indifference curve that is further from the origin (above and to the right) represents a higher level of satisfaction. This is because it allows the consumer to access greater quantities of one or both goods compared to a lower indifference curve. Consumers are assumed to prefer more goods to less, so a higher curve indicates more utility.
In simple words: Indifference curves always slope down, curve inwards (convex), never cross each other, and curves further out show more happiness.
🎯 Exam Tip: When discussing convexity, link it directly to the concept of diminishing marginal rate of substitution.
Question 4. Explain the law of equimarginal utility.
Answer: The Law of Equimarginal Utility is a key concept in marginal utility analysis, explaining how consumers achieve equilibrium. It's also known as the Law of Substitution. This law states that a rational consumer, with a fixed income, will spend their money on different goods in such a way that the marginal utility (extra satisfaction) derived from the last rupee spent on each good is equal. This ensures the consumer maximizes their total satisfaction. The condition for equilibrium for two goods, X and Y, is:
\[ \frac { MU_x }{ P_x } = \frac { MU_y }{ P_y } = MU_m \]
Where \( MU_x \) and \( MU_y \) are the marginal utilities of goods X and Y, \( P_x \) and \( P_y \) are their respective prices, and \( MU_m \) is the marginal utility of money. This means if the marginal utility per rupee of good X is greater than that of good Y, the consumer will substitute good X for good Y. This substitution will cause \( MU_x \) to fall and \( MU_y \) to rise, continuing until the ratios become equal. The consumer is in equilibrium when they can no longer increase their total satisfaction by shifting spending between goods.
In simple words: People spend their money so that the last rupee spent on each item gives them the same amount of extra happiness. If one item gives more happiness per rupee, they buy more of it until all items are equal.
🎯 Exam Tip: Clearly state the equilibrium condition for multiple goods and explain the adjustment process if the ratios are unequal.
Rbse Class 12 Economics Chapter 2 Multiple-Choice Questions
Question 1. Who propounded the law of diminishing marginal utility and when?
(a) Gossen
(b) 13
(c) Both (a) and (b)
(d) 1834
Answer: (a) Gossen
In simple words: The idea that extra happiness from an item goes down as you get more of it was first put forward by a person named Gossen.
🎯 Exam Tip: When asked about key economic concepts, remember the economist associated with their origin.
Question 2. Capacity of fulfillment of requirement of goods is called :
(a) Productivity
(b) Utility
(c) Ability
(d) Satisfaction
Answer: (b) Utility
In simple words: The power of any good or service to meet a need or want is called utility.
🎯 Exam Tip: Understand that utility is the want-satisfying power of a commodity, distinct from its usefulness or productivity.
Question 3. Methods of utility analysis are :
(a) Cardinal analysis
(b) Ordinal analysis
(c) both
(d) None of the options
Answer: (c) both
In simple words: There are two main ways to study how useful things are: by trying to count satisfaction (cardinal) or by just ranking preferences (ordinal).
🎯 Exam Tip: Be familiar with both cardinal and ordinal approaches, as they represent different ways to understand consumer behavior.
Question 4. Utility in marginal utility theory is :
(a) ordinal utility
(b) cardinal utility
(c) both
(d) None of the options
Answer: (b) cardinal utility
In simple words: In the idea of marginal utility, satisfaction is thought to be measurable, like counting numbers. This is called cardinal utility.
🎯 Exam Tip: The marginal utility theory, primarily associated with Alfred Marshall, is based on the assumption of cardinal measurability of utility.
Question 5. If the marginal utility of goods is negative then the total utility is :
(a) declining
(b) increasing
(c) constant
(d) None of the options
Answer: (a) declining
In simple words: If you get negative extra happiness from something, your overall happiness from that thing will start to go down.
🎯 Exam Tip: Remember the relationship: when marginal utility is negative, total utility decreases; when marginal utility is zero, total utility is maximized.
Question 6. Diminishing marginal utility principle propounded by :
(a) Marshall
(b) Gossen
(c) pigou
(d) Edgeworth
Answer: (b) Gossen
In simple words: The rule that says the more you have of something, the less extra happiness each new piece gives you, was put forward by Gossen.
🎯 Exam Tip: Associate Gossen with the initial formulation of the law of diminishing marginal utility.
Question 7. Assumptions of diminishing marginal utility are:
(a) the process of consumption is constant
(b) the marginal utility of wealth is assumed to be constant
(c) utility is measurable and money is use for this
(d) All of the options
Answer: (d) All of the options
In simple words: The law of diminishing marginal utility works if consumption is steady, money's extra value doesn't change, and utility can be measured.
🎯 Exam Tip: Familiarize yourself with all the underlying assumptions of the law of diminishing marginal utility, as they are often tested.
Question 8. Indifference means:
(a) X is given preference on Y
(b) Y is given preference on X
(c) Both X and Y are similar preferences
(d) None of the options
Answer: (c) Both X and Y are similar preferences
In simple words: When a person is indifferent between two goods, it means they feel the same amount of happiness from having either of them; they don't prefer one over the other.
🎯 Exam Tip: Indifference implies that the consumer gains equal satisfaction from different combinations of goods, hence no preference.
Question 9. Assumptions of indifference curve analysis are:
(a) consumer are considered prudent
(b) the consumer's tastes, habits and income remain the same throughout the analysis
(c) an indifference curve is negatively inclined sloping downward
(d) All of the options
Answer: (c) an indifference curve is negatively inclined sloping downward
In simple words: One main idea behind indifference curves is that they always slope down. This shows that if you get more of one thing, you must give up some of the other to stay equally happy.
🎯 Exam Tip: While all listed points are aspects of indifference curve analysis, the negative slope is a fundamental characteristic and often explicitly an assumption.
Rbse Class 12 Economics Chapter 2 Very Short Answer Type Questions
Question 1. Define marginal utility.
Answer: Marginal utility is the extra satisfaction or utility a consumer gets from consuming one additional unit of a good or service. It's the change in total utility that results from a one-unit change in consumption. The more of a good a person consumes, the less extra satisfaction they typically get from each additional unit.
In simple words: It's the added happiness you get from using one more unit of something.
🎯 Exam Tip: Remember to highlight that marginal utility is the *additional* satisfaction, not the total, and it often diminishes.
Question 2. Define total utility.
Answer: Total utility is the overall satisfaction or happiness a consumer gets from consuming all units of a particular good or service. It's the sum of all the marginal utilities derived from each unit consumed. As more units are consumed, total utility generally increases, but at a decreasing rate, until it reaches a maximum point.
In simple words: Total utility is all the happiness you get from consuming all units of an item.
🎯 Exam Tip: Differentiate total utility from marginal utility by emphasizing that total utility is cumulative satisfaction from all units.
Question 3. What is the meaning of consumer's equilibrium?
Answer: Consumer's equilibrium is a situation where a consumer, given their income and market prices, maximizes their total satisfaction and has no desire to change their pattern of consumption. At this point, the consumer has arranged their purchases in a way that provides the greatest possible utility, and any deviation would lead to less satisfaction.
In simple words: It's when a person has bought things in a way that gives them the most happiness for their money, and they don't want to change anything.
🎯 Exam Tip: Emphasize that consumer equilibrium implies maximum satisfaction and no incentive to alter consumption choices.
Question 4. Define indifference curve.
Answer: An indifference curve is a graph that shows different combinations of two goods that give a consumer the same level of satisfaction or utility. This means that a consumer would be equally happy with any of the combinations represented by points on that curve. It is a fundamental tool in ordinal utility analysis to understand consumer preferences.
In simple words: It's a line on a graph connecting different mixes of two items that make someone equally happy.
🎯 Exam Tip: Remember that an indifference curve represents equal satisfaction, not necessarily a numerical value of utility.
Question 5. What is budget line?
Answer: A budget line is a graphical representation that shows all the possible combinations of two goods that a consumer can buy given their fixed income and the prices of the goods. It defines the consumer's purchasing power and represents the boundary of their affordable choices. Any point on or below the budget line is achievable, while points above it are not.
In simple words: A budget line shows all the different ways you can spend your money to buy two items, given their prices and your income.
🎯 Exam Tip: Clearly state that the budget line represents the consumer's purchasing power and affordability constraint.
Question 7. What is meant by a 'consumer'?
Answer: A consumer is a person who buys and uses goods and services for their own personal needs and wants.
In simple words: A consumer is someone who buys things like goods and services to use themselves.
🎯 Exam Tip: Remember to clearly define a consumer as an individual or household purchasing for personal use, not for resale or production.
Question 8. What do you understand by 'consumption'?
Answer: Consumption is the act of using goods and services to satisfy human desires. According to Meyers, it's the direct use of items to fulfill wants, and it represents the process through which human needs are met.
In simple words: Consumption is when you use or eat goods and services.
🎯 Exam Tip: When defining consumption, highlight that it involves using goods and services to directly satisfy wants.
Question 9. Who propounded the cardinal analysis as the alternative use in 1934?
Answer: The cardinal analysis was put forward by Prof. J.R. Hicks and Prof. R.G.D. Allen in 1934 as an alternative approach.
In simple words: The cardinal analysis was introduced by economists J.R. Hicks and R.G.D. Allen.
🎯 Exam Tip: Make sure to correctly attribute the cardinal analysis to Hicks and Allen, noting the year if possible.
Question 10. What is utility?
Answer: Utility is the power of any product or service to satisfy a person's wants or needs.
In simple words: Utility is how much a product or service can fulfill a person's needs.
🎯 Exam Tip: A good definition of utility should focus on its ability to satisfy wants or needs, not just its usefulness.
Question 11. What is utility function?
Answer: A utility function describes how an individual's demand for a product depends on its price, the individual's income, and the prices of related goods.
In simple words: A utility function shows that what a person wants to buy changes based on its price, their own money, and the prices of other similar things.
🎯 Exam Tip: Remember that a utility function mathematically links satisfaction to the quantities of goods consumed, considering income and prices.
Question 12. How can we write the formula of total utility?
Answer: The formula for total utility of 'n' units can be written as \( TU_n = U_1 + U_2 + U_3 + ... + U_n \), where \( TU_n \) is the total utility from 'n' units and \( U_1, U_2, U_3, \dots, U_n \) are the utilities from consuming each individual unit.
In simple words: The formula for total utility means adding up the utility from each item consumed to get the total satisfaction from all of them.
🎯 Exam Tip: Clearly show that total utility is the sum of utility derived from each successive unit consumed up to 'n' units.
Question 14. Write down one assumption of utility analysis.
Answer: One key assumption of utility analysis is that the consumer is rational. This means they can compare the utility (satisfaction) they get from different goods, measure it, and then choose the combination that gives them the most satisfaction.
In simple words: One assumption is that buyers are smart and choose items that give them the most satisfaction after comparing them.
🎯 Exam Tip: Focus on the "rationality" assumption, explaining that consumers make calculated decisions to maximize their satisfaction.
Question 15. What is the point at which total utility is maximized?
Answer: The point at which total utility is maximized is called the point of satisfaction.
In simple words: Total utility is highest at the point where a consumer gets the most satisfaction.
🎯 Exam Tip: Clearly state "point of satisfaction" or "saturation point" as the answer for maximum total utility.
Question 16. If the consumer is forced to release the use of that item even after the point of maximum satisfaction, then what effect does it have on the consumer?
Answer: If a consumer is made to continue using an item beyond their point of maximum satisfaction, their total utility will start to decline.
In simple words: If someone keeps consuming an item past their satisfaction point, their total happiness from it will start to go down.
🎯 Exam Tip: Explain that consuming beyond the saturation point leads to diminishing or even negative marginal utility, causing total utility to fall.
Question 17. What is the formula of measuring marginal utility?
Answer: The formula for measuring marginal utility (MU) is:
\( MU_n = \frac { \Delta TU }{ \Delta C } \)
Where \( \Delta TU \) is the change in total utility and \( \Delta C \) is the change in consumption. It can also be expressed as \( MU = TU_n - TU_{n-1} \).
In simple words: Marginal utility is found by dividing how much total satisfaction changes by how much consumption changes.
🎯 Exam Tip: Provide both the delta formula and the \( TU_n - TU_{n-1} \) formula for calculating marginal utility.
Question 18. What do you understand by positive marginal utility?
Answer: Positive Marginal Utility refers to a situation where consuming an additional unit of a commodity still increases total satisfaction. This means the law of diminishing marginal utility is not yet fully in effect, and each extra unit provides more satisfaction than the previous one, or at least still adds to the total.
In simple words: Positive marginal utility means that each extra item you use brings even more happiness, which is the opposite of the usual rule where extra items bring less happiness.
🎯 Exam Tip: Define positive marginal utility as the phase where consuming more units continues to add to total satisfaction, indicating that the consumer has not reached their saturation point.
Question 20. What is meant by negative marginal utility?
Answer: Negative Marginal Utility occurs when consuming one more unit of a product actually causes dissatisfaction or reduces overall satisfaction. Instead of adding to happiness, it takes away from it.
In simple words: Negative marginal utility means that consuming an extra item makes you feel less satisfied or even unhappy.
🎯 Exam Tip: Emphasize that negative marginal utility happens when continued consumption leads to a decrease in total utility, causing discomfort or displeasure.
Question 21. What is the effect of negative marginal utility on total utility?
Answer: When marginal utility becomes negative, it causes total utility to fall. This means that consuming more units of a good beyond the point of saturation will lead to a decrease in the consumer's overall satisfaction.
In simple words: If your marginal utility becomes negative, your total satisfaction from consuming items will start to drop.
🎯 Exam Tip: Clearly link negative marginal utility directly to a decrease in total utility, showing the inverse relationship between the two.
Question 22. If the marginal utility is zero, then how much will the total utility be?
Answer: If marginal utility is zero, then total utility will be at its maximum point. This is the saturation point where the consumer can get no additional satisfaction from consuming more units.
In simple words: When the extra satisfaction from one more unit is zero, your total satisfaction has reached its highest point.
🎯 Exam Tip: Remember the critical relationship: total utility is maximized precisely when marginal utility is zero.
Question 23. What will be the effect on marginal utility after the point of saturation?
Answer: After the point of saturation, marginal utility will become negative. This means that any further consumption will lead to a decrease in total satisfaction.
In simple words: Once you've had enough (saturation point), any more consumption will make the extra satisfaction negative.
🎯 Exam Tip: Explain that beyond saturation, the desire for the good turns into aversion, causing marginal utility to drop below zero.
Question 24. Who propounded the principle of diminishing marginal utility and when?
Answer: The principle of diminishing marginal utility was proposed by Henrich Gossen in 1854.
In simple words: Henrich Gossen introduced the idea of diminishing marginal utility in 1854.
🎯 Exam Tip: Correctly identify Henrich Gossen and the year 1854 as key details for this economic principle.
Question 25. Write down one assumption of diminishing marginal utility.
Answer: One important assumption of the law of diminishing marginal utility is that the consumer's taste and preferences for the commodity remain constant throughout the period of consumption.
In simple words: One key idea is that a consumer's likes and dislikes for a product do not change while they are using it.
🎯 Exam Tip: When listing assumptions, ensure you clearly state that consumer preferences must remain unchanged for the law to hold true.
Question 26. Which laws originates by diminishing marginal utility.
Answer:
In simple words:
🎯 Exam Tip: Diminishing marginal utility is a foundational concept that helps explain other economic laws like the Law of Demand.
Question 28. In which field of economics does the equimarginal utility law apply?
Answer: The law of equimarginal utility is applied in various fields of economics, including consumption, production (origin), investment, and distribution.
In simple words: The law of equimarginal utility is used in economics for understanding consumption, production (origin), investment, and how things are shared (distribution).
🎯 Exam Tip: Be sure to list multiple key economic areas where the equimarginal utility principle is applicable.
Question 29. What is that curve called, which represents different combinations of two goods which yield equal satisfaction to the consumer?
Answer: The curve that represents different combinations of two goods yielding equal satisfaction to the consumer is called an Indifference Curve.
In simple words: This curve shows all the different ways a consumer can combine two items and still get the same level of satisfaction.
🎯 Exam Tip: Clearly define the indifference curve as a representation of combinations that provide constant utility to the consumer.
Question 30. What is the nature of slope of indifference curve?
Answer: The nature of the slope of an indifference curve is negative, meaning it declines from left to right.
In simple words: An indifference curve slopes downwards, meaning it has a negative slope.
🎯 Exam Tip: Remember that a negative slope indicates that to get more of one good, the consumer must give up some of the other good while maintaining the same satisfaction level.
Question 31. Write down a condition of consumer's equilibrium by indifference curve.
Answer: A key condition for consumer's equilibrium using an indifference curve is that the indifference curve must be tangent to (just touch) the budget line.
In simple words: For a consumer to be in balance, the indifference curve must just touch, but not cross, the budget line.
🎯 Exam Tip: Stress the tangency condition: the indifference curve's slope must equal the budget line's slope at equilibrium.
Question 32. Draw the diagram of indifference curve.
Answer:
In simple words: An indifference curve on a graph shows different combinations of two goods that give a consumer the same level of happiness. It slopes downwards and curves inwards.
🎯 Exam Tip: When drawing an indifference curve, ensure it is convex to the origin and slopes downwards, representing constant satisfaction.
Question 33. Express the indifference curve in equation.
Answer: The indifference curve can be expressed in equation form as: \( U = f(X_1, X_2, X_3, \dots, X_n) = K \)
Here, \( X_1, X_2, \dots, X_n \) are the quantities of various goods, and \( K \) represents a constant level of utility or satisfaction.
In simple words: The indifference curve can be written as an equation, U = f (X1, X2, ..., Xn) = K, where 'U' is utility, 'X's are quantities of goods, and 'K' is a constant level of satisfaction.
🎯 Exam Tip: Remember to use 'U' for utility, 'f' for function, 'X' for goods, and 'K' for the constant level of satisfaction in the equation.
Question 34. State one characteristic of indifference curve.
Answer: One important characteristic of an indifference curve is that it is convex to the origin. This shape reflects the diminishing marginal rate of substitution.
In simple words: One key feature of an indifference curve is that it always curves inward towards the point where the X and Y axes meet.
🎯 Exam Tip: Always mention convexity to the origin as it signifies that consumers are willing to give up less of one good for another as they acquire more of it.
Question 35. What is budget line?
Answer: A budget line is a graphical representation showing all possible combinations of two goods that a consumer can purchase, given their fixed income and the prices of the goods. The total cost of each combination on the line equals the consumer's money income.
In simple words: A budget line shows all the different ways a person can buy two items, given their money and the prices of those items.
🎯 Exam Tip: Define the budget line as representing affordability—all combinations of goods that can be bought with a specific income at given prices.
Question 36. What is the formula of budget line slope?
Answer: The formula for the slope of the budget line is: \( \frac{P_x}{P_y} \)
It represents the price ratio of the two goods, X and Y.
In simple words: The slope of the budget line is found by dividing the price of good X by the price of good Y.
🎯 Exam Tip: The slope of the budget line is always the negative of the price ratio (price of good on x-axis / price of good on y-axis).
Question 37. The income of a consumer is Rs. 1000, he wants to consume two goods whose prices respectively are Rs. 10 and Rs. 15. Write down the equation of budget line.
Answer: Given income (M) = Rs. 1000, price of good 1 (\( P_1 \)) = Rs. 10, and price of good 2 (\( P_2 \)) = Rs. 15.
The budget line equation is: \( 1000 = 10 \times X_1 + 15 \times X_2 \)
Here, \( X_1 \) is the quantity of good 1 and \( X_2 \) is the quantity of good 2.
In simple words: If a consumer has Rs. 1000 and buys two goods costing Rs. 10 and Rs. 15 each, the budget line equation is 1000 = 10x1 + 15x2.
🎯 Exam Tip: Remember to express the budget line equation as Income = (Price of Good 1 × Quantity of Good 1) + (Price of Good 2 × Quantity of Good 2).
Question 39. What is indifference map?
Answer: An indifference map is a collection of several indifference curves, each representing a different level of satisfaction, on a single graph. Higher curves indicate higher levels of satisfaction.
In simple words: An indifference map is a collection of many indifference curves, all on the same graph.
🎯 Exam Tip: Explain that an indifference map shows a family of indifference curves, illustrating different levels of utility a consumer can achieve.
Question 40. What is the marginal rate of substitution?
Answer: The Marginal Rate of Substitution (MRS) is the rate at which a consumer is willing to give up one commodity to get more of another, while maintaining the same level of overall satisfaction.
In simple words: MRS tells you how much of one good a person is willing to give up to get more of another good, without changing their overall happiness.
🎯 Exam Tip: Define MRS as the rate of exchange between two goods that keeps total utility constant, often represented by the slope of the indifference curve.
Question 41. What are the inferior goods?
Answer: Inferior goods are products whose demand decreases as the consumer's income increases. People tend to buy less of these goods when they can afford better alternatives.
In simple words: Inferior goods are items people buy less of when they have more money, like cheaper brands of food.
🎯 Exam Tip: Provide clear examples of inferior goods (e.g., store-brand cereals, public transport) to illustrate the concept.
Question 42. What is meant by Engel curve?
Answer: An Engel curve graphically shows the relationship between the equilibrium quantity of a commodity purchased and the consumer's income, assuming all other factors remain constant.
In simple words: An Engel curve shows how much of a product a consumer buys as their income changes.
🎯 Exam Tip: Remember that an Engel curve specifically plots income against the quantity demanded of a good.
Question 43. What is marginal utility of money?
Answer: Marginal utility of money refers to the 'worth of a rupee' or the additional satisfaction a consumer gets from having one more unit of money.
In simple words: Marginal utility of money is how much satisfaction a person gets from one extra rupee.
🎯 Exam Tip: Understand that the marginal utility of money is often considered constant in cardinal utility theory for simplicity, but in reality, it can diminish.
RBSE Class 12 Economics Chapter 2 Short Answer Type Questions (SA-I)
Question 1. What is meant by consumer's taste and preferences?
Answer: A consumer's taste and preferences are their personal likes and dislikes for different products, which significantly influence their demand. These preferences are often shaped by social customs, cultural values, and personal experiences related to the commodity.
In simple words: A consumer's tastes and preferences are their personal likes and dislikes for products, often influenced by culture and beliefs, which affect what they choose to buy.
🎯 Exam Tip: Emphasize that tastes and preferences are subjective factors that drive demand, distinguishing them from objective factors like price and income.
Question 2. What do you understand by consumption?
Answer: Consumption is the process of using goods and services to directly satisfy human wants and needs. As defined by Meyers, it is the direct use of items to achieve satisfaction. This act of consumption is how individuals fulfill their desires.
In simple words: Consumption is when people use products or services to meet their needs and wants.
🎯 Exam Tip: Highlight that consumption is the final act in the economic process, directly involving the satisfaction of wants.
Question 3. What are the characteristics of utility?
Answer: The main characteristics of utility are:
(i) Utility is subjective, meaning it depends on an individual's personal estimate of satisfaction and cannot be objectively observed or identified.
(ii) Utility cannot be measured in objective terms or with a standard measuring rod, although some economists suggest it can be measured in terms of money.
(iii) Utility is relative, not absolute, as it changes from person to person based on their individual needs.
(iv) Utility is abstract, as it is a feeling or concept that cannot be seen or touched physically.
In simple words: Utility is personal, cannot be directly seen or touched, and changes from person to person based on their needs, though some economists think it can be measured with money.
🎯 Exam Tip: For full marks, list and briefly explain each characteristic of utility, such as its subjectivity, abstract nature, and relativity.
Question 4. Who propounded cardinal analysis?
Answer: Cardinal analysis was developed by neo-classical economists like Alfred Marshall and A.C. Pigou. They believed that utility could be quantitatively measured, often in units called 'utils'.
In simple words: Economists like Marshall and Pigou developed cardinal analysis, believing that utility, or satisfaction, could be measured.
🎯 Exam Tip: Associate cardinal analysis with neoclassical economists like Marshall and Pigou and their belief in measurable utility.
Question 5. 'Utility can be measured in the form of utils.' Write down the name of economists who agree with this idea.
Answer: Economists who agreed with the idea that utility can be measured in 'utils' include William Stanley Jevons, Carl Menger, Leon Walras, and Alfred Marshall. They compared utility measurement to standard units like liters for milk or meters for height.
In simple words: Economists such as Jevons, Menger, Walrus, and Marshall believed that utility can be measured, similar to how we measure things like milk or height.
🎯 Exam Tip: List the key economists who supported the cardinal measurement of utility, such as Jevons, Menger, Walras, and Marshall.
Question 7. 'Utility is an intangible assumption.' Clarify that statement.
Answer: The statement means that utility cannot be physically touched, seen, or held. It is an abstract concept that can only be felt or experienced as a sense of satisfaction. Therefore, it's considered an intangible assumption because it exists as a feeling rather than a concrete object.
In simple words: Utility is something you feel, not something you can see or touch, making it an abstract idea.
🎯 Exam Tip: To clarify 'intangible', explain that utility is a psychological concept, a subjective feeling of satisfaction, not a physical attribute of a good.
Question 8. Is utility found in only beneficial commodity?
Answer: No, utility is not found only in beneficial commodities. It can be derived from both beneficial and non-beneficial goods. For instance, milk and butter are beneficial, but alcohol and cigarettes also provide utility (satisfaction) to those who consume them, even if they are harmful.
In simple words: Utility can come from both good and bad products; for example, milk is beneficial, but cigarettes still provide utility to those who use them.
🎯 Exam Tip: Highlight that utility is about satisfaction, regardless of whether the good is considered good or bad for health or society.
Question 9. 'Utility is conditional. What do you understand by this statement?
Answer: The statement 'utility is conditional' means that the amount of satisfaction a consumer gets from a product can change depending on various factors like time, place, and specific circumstances. For example, a warm coat provides more utility in winter than in summer.
In simple words: "Utility is conditional" means that how much satisfaction you get from a product can change depending on when and where you use it.
🎯 Exam Tip: Explain that utility is dynamic and varies with external conditions and individual needs, not just the inherent quality of the good.
Question 10. What are the methods of utility analysis?
Answer: There are primarily two methods of utility analysis:
1. Cardinal analysis
2. Ordinal analysis
These methods offer different approaches to understanding and measuring consumer satisfaction.
In simple words: There are two ways to study utility: cardinal analysis, which tries to measure satisfaction with numbers, and ordinal analysis, which focuses on ranking preferences.
🎯 Exam Tip: Simply listing the two methods, cardinal and ordinal analysis, is sufficient for this question.
Question 11. 'Utility can be measured.' Which economists said this?
Answer: Economists such as Francis Ysidro Edgeworth (1881), Giovanni Antonelli (1886), and Irving Fisher (1892) supported the idea that utility can be measured. They believed that utility depends on the quantity of goods consumed by a consumer.
In simple words: Economists like Edgeworth, Antonelli, and Fisher believed that utility could be measured and that it changes based on how much of a product a person consumes.
🎯 Exam Tip: For questions asking for names, ensure you list at least two economists who clearly championed the measurable utility concept.
Question 12. 'Utility is an abstract assumption. Clarify this statement.
Answer: Utility is considered abstract because it cannot be seen or touched, unlike physical objects. It exists purely as a feeling or psychological state of satisfaction. This means it is a mental construct rather than a tangible entity.
In simple words: Utility is an abstract idea because it's a feeling, not something you can physically see or touch.
🎯 Exam Tip: Emphasize that utility's abstract nature highlights its subjective and non-physical quality, distinguishing it from tangible properties of goods.
Question 14. What is the relation between total utility and marginal utility? Tell one relationship.
Answer: One important relationship between total utility and marginal utility is that when total utility reaches its maximum point, marginal utility at that same point becomes zero. After this point, if more units are consumed, total utility will begin to fall, and marginal utility will become negative.
In simple words: When a person's total satisfaction is highest, the extra satisfaction they get from one more unit of an item becomes zero.
🎯 Exam Tip: The inverse relationship where total utility peaks as marginal utility hits zero is a crucial concept to explain clearly.
Question 15. Why does MRS diminish?
Answer: The Marginal Rate of Substitution (MRS) diminishes because most goods are not perfect substitutes for each other. As a consumer gets more of one good (say, X), its marginal utility decreases, and they are willing to give up less and less of the other good (Y) to obtain an additional unit of X while maintaining the same satisfaction level. This reflects a decreasing preference for the good being added.
In simple words: MRS decreases because most goods aren't perfect substitutes. As you get more of one item, you're willing to give up less and less of the other to keep the same level of happiness.
🎯 Exam Tip: Link the diminishing MRS to the principle of diminishing marginal utility and the imperfect substitutability of goods.
Question 16. What is the importance of the law of diminishing marginal utility?
Answer: The law of diminishing marginal utility is very important in public finance. It explains that the utility of money is generally lower for wealthy individuals and higher for poorer individuals. Therefore, governments can increase overall social welfare by imposing taxes on the rich and using those funds to benefit the poor, as this transfers resources from those who gain less utility from money to those who gain more.
In simple words: This law is important in public finance; it suggests that taxing the rich and helping the poor can increase overall societal well-being because money provides less satisfaction to the wealthy than to the needy.
🎯 Exam Tip: For questions on importance, provide a real-world application like its relevance in fiscal policy and welfare distribution.
Question 17. What is the condition of consumer's equilibrium in cardinal analysis?
Answer: In cardinal analysis, a consumer is in equilibrium when the marginal utility derived from the last unit of money spent on each good is equal. For two goods, X and Y, this condition is expressed as: \( \frac{MU_X}{P_X} = \frac{MU_Y}{P_Y} \). This means the consumer distributes their income such that the satisfaction per rupee from all goods is the same.
In simple words: In cardinal analysis, a consumer is balanced when the extra happiness they get per rupee spent on each item is the same.
🎯 Exam Tip: State the equimarginal utility principle (ratio of marginal utility to price for each good) as the core condition for equilibrium in cardinal analysis.
Question 18. What are the two demerits of equimarginal utility?
Answer: The two demerits of the law of equimarginal utility are:
(i) Difficulty in Measuring Utility: It is challenging to measure a consumer's cardinal utility in precise units because satisfaction is subjective and influenced by emotions, making it immeasurable numerically. This is why consumer behavior is often explained using ordinal utility.
(ii) Indivisibility of Goods: Many goods are not available in small, divisible units. If goods can only be purchased in large quantities, it becomes impossible to perfectly equate the marginal utility of money spent on each item, thus making the application of the law difficult.
In simple words: (i) One demerit is that it's hard to measure satisfaction (utility) with numbers, making it difficult to apply the concept directly. (ii) Another problem is that some goods cannot be bought in small amounts, so it's impossible to make the marginal utility of money equal across all purchases.
🎯 Exam Tip: Focus on the impracticality of cardinal measurement and the real-world issue of goods not being perfectly divisible as key limitations.
Question 19. What is the importance of equimarginal utility?
Answer: The law of equimarginal utility is crucial in economics for several reasons. It helps in optimizing production by allocating limited resources efficiently to minimize costs. It plays a vital role in marginal utility analysis by explaining how consumers achieve equilibrium by substituting one good for another to maximize satisfaction given their budget.
In simple words: Equimarginal utility helps to maximize output from limited resources and reduce costs. It's crucial in understanding how consumers choose to swap one item for another to achieve balance.
🎯 Exam Tip: Explain that equimarginal utility is essential for understanding both consumer choice (optimizing satisfaction) and producer behavior (optimizing resource allocation).
Question 20. Write down two characteristics of indifference curve.
Answer: Two main characteristics of an indifference curve are:
(i) Negative Slope: Indifference curves always slope downwards from left to right. This indicates that the two goods are substitutes; if the quantity of one decreases, the quantity of the other must increase to maintain the same level of satisfaction.
(ii) Convex to Origin: Indifference curves are convex (bowed inwards) to the origin. This shape signifies the diminishing marginal rate of substitution, meaning a consumer is willing to give up less of one good for each additional unit of the other as they acquire more of it.
In simple words: (i) Indifference curves slope downwards because if you use less of one product, you need more of another to stay equally happy. (ii) They are also curved inwards (convex) towards the center point of the graph.
🎯 Exam Tip: Clearly describe both the negative slope and the convexity to the origin, linking them to the concepts of substitution and diminishing MRS, respectively.
Question 21. What do you understand by indifference curve?
Answer: An indifference curve is a graphical tool that shows all the different combinations of two goods that provide a consumer with the same level of total satisfaction or utility. This means the consumer is "indifferent" to any combination along the curve.
In simple words: An indifference curve connects all the different ways you can combine two items and feel equally happy.
🎯 Exam Tip: Define an indifference curve as representing constant utility, meaning all points on it give the consumer equal satisfaction.
Question 23. What do you mean by budgetary constraints?
Answer: Budgetary constraints refer to the limits placed on a consumer's purchasing power by their fixed income and the prices of goods. This constraint restricts a consumer's ability to maximize utility. For a two-commodity model, it can be expressed as: \( P_x Q_x + P_y Q_y = M \), where \( P_x \) and \( P_y \) are prices, \( Q_x \) and \( Q_y \) are quantities, and \( M \) is the consumer's income.
In simple words: A budgetary constraint means a consumer has limited money, which stops them from buying everything they want. It is shown as an equation: Price of X multiplied by quantity of X, plus price of Y multiplied by quantity of Y, must be equal to or less than total income.
🎯 Exam Tip: Ensure you clearly explain that budgetary constraints are about limited income and prices, and include the mathematical expression of the budget line.
Question 24. What do you understand by consumer's surplus?
Answer: Consumer's surplus is the extra satisfaction or benefit consumers receive when they pay a price for a good that is less than the maximum price they would have been willing to pay. This concept was developed by Alfred Marshall and is relevant in economic theory, government policy, and monopoly decisions.
In simple words: Consumer's surplus is the extra benefit people get when they pay less for something than what they were willing to pay. This idea was created by Alfred Marshall.
🎯 Exam Tip: Define consumer's surplus as the difference between willingness to pay and actual price paid, attributing its development to Alfred Marshall.
Question 25. Write down three limitations of consumer's surplus.
Answer: Three limitations of consumer's surplus are:
1. Difficulty in Exact Measurement: It is hard to measure consumer's surplus precisely because determining the marginal utility of different units consumed by a person is challenging.
2. Infinite Surplus for Necessities: For essential goods, the marginal utility of the initial units is considered extremely high, making the consumer's surplus theoretically infinite, which is unrealistic.
3. Not Applicable to Prestige Goods: The concept struggles with luxury items bought for their prestige value (like diamonds), as their utility scale cannot be simply derived using standard rules.
In simple words: (1) It's hard to measure consumer's surplus exactly because satisfaction is hard to put a number on. (2) For essential items, the surplus seems endless because their initial value is so high. (3) It doesn't work well for luxury items bought for status, as their value isn't just about basic utility.
🎯 Exam Tip: When listing limitations, focus on the practical difficulties of measurement, the specific case of necessities, and the unique nature of prestige goods.
Question 27. What will be the changes in the budget line, if the income of the consumer becomes Rs. 40 instead of Rs. 20, but the price remains unchanged?
Answer: If the consumer's income increases from Rs. 20 to Rs. 40 while the prices of goods remain unchanged, the budget line will shift outwards and to the right, parallel to the original budget line. This parallel shift indicates that the consumer can now afford more of both goods, as their purchasing power has doubled.
In simple words: When your income increases but prices don't change, you can buy more things, and your budget line moves up and to the right.
🎯 Exam Tip: Illustrate with a diagram showing a parallel shift of the budget line outwards when income increases, keeping prices constant.
Question 28. What will be the changes in budget line, if there is a change in cost of Re. 1 in Goods 2, but Goods 1 and income remains unchanged?
Answer: If the cost of Goods 2 decreases by Re. 1 (while the price of Goods 1 and total income remain unchanged), the budget line will rotate outwards along the axis representing Goods 2. The intercept on the Goods 1 axis will stay the same, but the intercept on the Goods 2 axis will move further away from the origin, showing that the consumer can now buy more of Goods 2.
In simple words: If one item becomes cheaper, you can buy more of it with the same money, so your budget line swings outwards on the side of that cheaper item.
🎯 Exam Tip: Show that a change in the price of one good causes the budget line to pivot or rotate, with one intercept remaining fixed and the other changing.
Question 29. What is budget space?
Answer: Budget space, also known as the opportunity set, includes all possible combinations of goods that a consumer can purchase by spending all or part of their given income, considering the prevailing prices. It represents the entire area on or below the budget line.
In simple words: Budget space is the area on a graph that includes all the possible combinations of goods a consumer can buy, given their money and the prices of items.
🎯 Exam Tip: Clearly distinguish budget space (the entire area) from the budget line (combinations using all income).
RBSE Class 12 Economics Chapter 2 Short Answer Type Questions (SA-II)
Question 1. Define marginal utility.
Answer: Marginal utility is the additional satisfaction or extra utility a consumer gains from consuming one more unit of a specific commodity. It is calculated as the change in total utility divided by the change in consumption (\( MU = \frac{\Delta TU}{\Delta C} \)), or as the total utility of 'n' units minus the total utility of 'n-1' units (\( MU = TU_n - TU_{n-1} \)).
In simple words: Marginal utility is the additional satisfaction a person gets from consuming one more unit of an item. It's the change in total satisfaction when consumption increases by one unit.
🎯 Exam Tip: Provide a concise definition and include both the delta formula and the discrete unit formula for calculating marginal utility.
RBSE Class 12 Economics Chapter 2 Short Answer Type Questions (SA-II)
Question 1. Define marginal utility.
Answer: Marginal utility is the extra satisfaction a consumer gets when they use one more unit of a product. It's the happiness from the very last item consumed.
In simple words: It is the additional satisfaction gained from consuming one more unit of a good.
🎯 Exam Tip: Remember that marginal utility often decreases as you consume more of a good. This is a key concept in economics.
Question 3. What is meant by consumer's equilibrium? State the conditions required for equilibrium.
Answer: Consumer's equilibrium is a situation where a consumer gets the most satisfaction possible from their income and does not want to change their spending. It means their current buying choices are the best they can make. To reach this point, two conditions must be met:
(i) The budget line must touch the indifference curve at one point, or the rate at which one good can be substituted for another (MRSxy) must equal the price ratio of the two goods (\( \frac{P_x}{P_y} \)).
(ii) The indifference curve must be curved inwards towards the origin at the point where it touches the budget line.
In simple words: A consumer is in equilibrium when they are happiest with their purchases and have no reason to change how they spend their money. This happens when their spending line just touches their highest satisfaction curve, and that curve is bowed inward.
🎯 Exam Tip: Understanding the tangency of the budget line and indifference curve is crucial for explaining consumer equilibrium, even without a diagram.
Question 4. Ice cream sells for Rs 40. Rohan who likes ice cream has already consumed 8. Her marginal utility of one rupee is 8. Should she consume more ice cream or stop the consumption?
Answer: A consumer reaches equilibrium when:
\( \frac{MU_X}{MU_m} = P_X \)
If we substitute the given values, we find that \( \frac{MU_X}{8} = 40 \). This means that for Rohan to be in equilibrium, her marginal utility from ice cream (MUx) should be 320. If Rohan has already eaten 8 ice creams and her MUx is 320, then she should stop eating more. However, if her MUx is still greater than 320, she should continue eating more ice cream until her MUx drops to 320 and its money value equals the price of Rs 40.
In simple words: Rohan should keep buying ice cream as long as the extra happiness she gets from one ice cream is worth more than its price. If she is getting less happiness than the price, she should stop.
🎯 Exam Tip: Always compare marginal utility per rupee with the price. When they are equal, the consumer is in equilibrium.
Question 6. Convert this table into a diagram which shows the relation of total utility and marginal Utility.
| Units Consumed | Total Utility |
|---|---|
| 0 | 0 |
| 1 | 30 |
| 2 | 45 |
| 3 | 58 |
| 4 | 68 |
| 5 | 75 |
Answer:
| Units Consumed | Total Utility | Marginal Utility |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 30 | 30 |
| 2 | 45 | 15 |
| 3 | 58 | 13 |
| 4 | 68 | 10 |
| 5 | 75 | 7 |
(i) The Total Utility (TU) curve rises, reaches a maximum point (Point 'G' at the 5th unit in the provided diagram, where MU is zero), and then starts to fall. This means total satisfaction increases up to a certain point.
(ii) The Marginal Utility (MU) curve slopes downwards from left to right. It shows that the extra satisfaction from each additional unit decreases. When total utility is at its maximum, marginal utility is zero. If total utility falls, marginal utility becomes negative.
In simple words: Total utility goes up, then levels off, and can go down. Marginal utility, which is the extra bit of happiness from each new item, usually keeps getting smaller as you get more of something.
🎯 Exam Tip: Clearly show the calculation of marginal utility as the difference in total utility between successive units. Mentioning the point where MU is zero and TU is maximum is crucial for full marks.
Question 7. Rita has Rs 88 with her. She intended to purchase goods X and Y with her money. The market price of X and Y per unit is Rs 8. The marginal utility schedule of goods X and Y is given below. Find out how many units of X and Y should Rita purchase so that she will get maximum satisfaction.
| Units of Commodity | \(MU_y\) | \(MU_x\) |
|---|---|---|
| 1 | 88 | 40 |
| 2 | 72 | 36 |
| 3 | 570 | 180 |
| 4 | 740 | 170 |
| 5 | 900 | 160 |
| 6 | 40 | 12 |
| 7 | 32 | 8 |
| 8 | 24 | 4 |
| 9 | 16 | 0 |
| 10 | 8 | 0 |
Answer: We know that a consumer achieves equilibrium when buying two goods if:
\( \frac{MU_X}{P_X} = \frac{MU_Y}{P_Y} \) ...(i)
And also when:
\( \frac{MU_X}{P_X} = \frac{MU_Y}{P_Y} = \frac{MU_{Money}}{P_{Money}} \) (This part implies the marginal utility of money itself, not just its price)
In this problem, the prices for both goods are \( P_X = P_Y = Rs 8 \) per unit. So, equilibrium occurs when \( MU_X = MU_Y \). This is according to equation (i). We can also express this as \( \frac{MU_X}{MU_Y} = 1 \). This occurs when Rita buys 8 units of X (spending \( 8 \times Rs 8 = Rs 64 \)) and 3 units of Y (spending \( 3 \times Rs 8 = Rs 24 \)). Her total expenditure would be \( Rs 64 + Rs 24 = Rs 88 \), which matches her income.
Let's consider another combination, like X=6 and Y=1. Here also, \( MU_X = MU_Y \) (both are 12). However, this is not an equilibrium point because not all her income is spent. Her expenditure would be \( (6 \times Rs 8) + (1 \times Rs 8) = Rs 48 + Rs 8 = Rs 56 \), which is less than her income of Rs 88.
If she bought 9 units of X and 5 units of Y, her expenditure would be \( (9 \times Rs 8) + (5 \times Rs 8) = Rs 72 + Rs 40 = Rs 112 \), which is more than her income of Rs 88.
Therefore, Rita achieves maximum satisfaction by purchasing 8 units of X and 3 units of Y.
In simple words: Rita should buy 8 units of good X and 3 units of good Y. This way, she spends all her money, and the extra happiness she gets from the last unit of X is equal to the extra happiness from the last unit of Y, given their prices.
🎯 Exam Tip: When given a budget and utility schedule, find combinations where \( \frac{MU_X}{P_X} = \frac{MU_Y}{P_Y} \) and the total expenditure equals the budget. This is the condition for consumer equilibrium.
Question 8. Distinguish between marginal utility and total utility.
Answer:
| Basis of Comparison | Total Utility | Marginal Utility |
|---|---|---|
| Conclusion | Suffers from diminishing returns. | Consumption decreases for each additional unit. |
Total Utility (TU) is the total satisfaction a consumer gets from consuming all units of a good or service. Marginal Utility (MU) is the extra satisfaction gained from consuming one additional unit of that good or service.
Key differences:
1. **Meaning:** TU is the sum of utility from all units; MU is the utility from the last unit.
2. **Trend:** TU usually increases at a decreasing rate, reaches a maximum, then falls. MU generally decreases as more units are consumed, can become zero, and then negative.
3. **Relationship:** When MU is positive, TU increases. When MU is zero, TU is at its maximum. When MU is negative, TU decreases.
4. **Measurement:** Both are typically measured in 'utils' in cardinal utility theory.
In simple words: Total utility is all the happiness you get from something, while marginal utility is just the extra happiness from the very last piece. Total utility goes up until you have enough, then it can drop. Marginal utility usually goes down the more you have.
🎯 Exam Tip: When distinguishing, define both terms, explain their relationship (especially when MU is zero, TU is maximum), and mention their typical trends with increasing consumption.
Question 9. How do we prove that a higher IC offers a higher level of satisfaction?
Answer: A higher indifference curve (IC) represents a higher level of satisfaction because it contains combinations of goods that are preferred over those on a lower curve. For example, if we have two indifference curves, \( IC_1 \) and \( IC_2 \), where \( IC_2 \) is above and to the right of \( IC_1 \). If point B is on \( IC_1 \) and point C is on \( IC_2 \), and both points have the same quantity of good 2 (say, OA), but point C has more of good 1 (OT) than point B (OS), then a rational consumer will prefer point C. This is because, according to the principle of monotonic preferences, a consumer always prefers more of a good. Since point C on \( IC_2 \) offers more of at least one good (Good 1) and the same amount of the other (Good 2) compared to point B on \( IC_1 \), it must provide a higher level of satisfaction. Therefore, any point on a higher IC means more satisfaction.
In simple words: Indifference curves further away from the center show more happiness. This is because they have more of one or both items, and people usually prefer to have more things.
🎯 Exam Tip: Always refer to the principle of monotonic preferences to explain why higher indifference curves yield greater satisfaction.
Question 10. Why should the MRS be low?
Answer: The Marginal Rate of Substitution (MRS) should be low because as a consumer has more of one good (say, Good-1) and less of another (Good-2), their desire for Good-1 decreases, and their desire for Good-2 increases. To maintain the same level of satisfaction, the consumer will be willing to give up less and less of Good-2 for each additional unit of Good-1. This is due to the law of diminishing marginal utility, which suggests that the more you have of something, the less extra satisfaction you get from another unit of it. If MRS were not diminishing, indifference curves would be straight lines or convex to the origin, which is not realistic.
In simple words: The rate at which you swap one good for another should get smaller because as you get more of one thing, you value it less, and you need more of it to give up even a little bit of the other thing you don't have much of.
🎯 Exam Tip: Always link the diminishing MRS to the law of diminishing marginal utility. It's the core reason for the convexity of indifference curves.
Question 11. ICs never touch or intersect each other, prove it.
Answer: Indifference curves (ICs) cannot touch or intersect because if they did, it would violate the principle of transitivity and consistency of preferences. Let's assume two ICs, \( IC_1 \) and \( IC_2 \), intersect at a point 'a'. If point 'a' is on both \( IC_1 \) and \( IC_2 \), and point 'b' is also on \( IC_2 \), then a consumer would be equally satisfied with 'a' and 'b'. Now, if point 'c' is on \( IC_1 \), the consumer would be equally satisfied with 'a' and 'c'. From these, we would logically conclude that the consumer is equally satisfied with 'b' and 'c'. However, if point 'c' clearly represents more of one good (e.g., Good-1) and the same amount of another good (Good-2) compared to point 'b', then 'c' must offer higher satisfaction. This contradicts the idea that 'b' and 'c' provide equal satisfaction. Such an intersection would mean that one indifference curve indicates two different levels of satisfaction or that a combination with more goods gives the same satisfaction as one with fewer, which is illogical. Therefore, ICs must never intersect or be tangent to each other.
In simple words: Indifference curves never cross because if they did, it would mean you get the same happiness from two different sets of items, even if one set clearly has more things. That doesn't make sense, so they can't cross.
🎯 Exam Tip: Focus on explaining the contradiction that arises from intersecting indifference curves, specifically how it violates the transitivity and monotonicity of consumer preferences.
Question 13. The total utility schedule of individual 'A' is given below. Derive his marginal utility schedule.
| Units Consumed | Total Utility |
|---|---|
| 0 | 0 |
| 1 | 30 |
| 2 | 45 |
| 3 | 58 |
| 4 | 68 |
| 5 | 75 |
Answer: The marginal utility (MU) is calculated as the change in total utility (TU) when one more unit is consumed. \( MU_n = TU_n - TU_{n-1} \). Applying this formula, we get the following schedule:
| Units Consumed | Total Utility | Marginal Utility |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 30 | 30 |
| 2 | 45 | 15 |
| 3 | 58 | 13 |
| 4 | 68 | 10 |
| 5 | 75 | 7 |
🎯 Exam Tip: Remember that marginal utility is the *difference* in total utility for each additional unit. Always calculate it from the total utility of the current unit minus the total utility of the previous unit.
Question 14. Marginal utility schedule of individual 'A' is given below. Derive his total utility schedule. (Assume that total utility of consuming zero units is zero.)
| Units Consumed | Marginal Utility |
|---|---|
| 1 | 7 |
| 2 | 10 |
| 3 | 8 |
| 4 | 6 |
| 5 | 3 |
| 6 | 0 |
Answer: Total utility (TU) is the sum of marginal utilities (MU) up to a given unit. Assuming TU at 0 units is 0, we can build the schedule by adding up the MUs. \( TU_n = MU_1 + MU_2 + ... + MU_n \) or \( TU_n = TU_{n-1} + MU_n \).
| Units Consumed | Marginal Utility | Total Utility |
|---|---|---|
| 1 | 7 | 7 |
| 2 | 10 | 17 |
| 3 | 8 | 25 |
| 4 | 6 | 31 |
| 5 | 3 | 34 |
| 6 | 0 | 34 |
🎯 Exam Tip: Remember that total utility is the cumulative sum of marginal utilities. When marginal utility is zero, total utility is at its maximum.
Question 16. Draw the budget line and throw light on the feasibility and non-feasibility area of budget line.
Answer: A budget line is a graphical representation of all possible combinations of two goods that a consumer can buy given their income and the prices of the goods. It shows the spending limit. The diagram for a budget line shows a downward-sloping straight line.
The budget line divides the commodity space (all possible combinations of goods) into two parts:
(i) **Feasibility Area:** This is the area below or on the budget line (south-west side). Any combination of goods (like point A in a diagram) within this area or on the line itself is affordable for the consumer given their income and prices. These are the combinations they can actually buy.
(ii) **Non-Feasibility Area:** This is the area above and to the right of the budget line (north-east side). Any combination of goods (like point B in a diagram) in this area is beyond the consumer's income and is therefore unattainable.
In simple words: A budget line shows what you can afford to buy. Everything under or on the line is what you can buy (feasible area), and everything above the line is too expensive (non-feasible area).
🎯 Exam Tip: Be sure to explain both the feasible and non-feasible regions, clarifying that points on the line represent full income utilization, points below represent under-utilization, and points above are unaffordable.
Question 18. How many methods of utility analysis are there?
Answer: There are two main methods of utility analysis:
1. **Cardinal Analysis:** This approach, developed by economists like Marshall and Pigou, assumes that utility can be measured numerically (e.g., in 'utils'). It helps explain consumer demand and the law of demand.
2. **Ordinal Analysis:** This approach views utility as a ranking of preferences rather than a specific measurable quantity. It helps understand consumer choices by comparing different combinations of goods without assigning exact numerical values.
In simple words: There are two ways to study utility: one where you can give a number to happiness (cardinal), and one where you just rank what you like best (ordinal).
🎯 Exam Tip: When listing methods, briefly describe the core idea of each (measurability vs. ranking) and name a key economist associated with each if possible.
Question 19. On which assumptions is cardinal analysis based?
Answer: Cardinal utility analysis is based on several key assumptions:
1. **Rationality:** Consumers are rational and aim to maximize their satisfaction by choosing goods that provide the highest utility first.
2. **Limited Money Income:** Consumers have a fixed amount of money to spend on goods and services.
3. **Maximization of Satisfaction:** Every rational consumer tries to get the most satisfaction possible from their income.
4. **Utility is Cardinally Measurable:** Utility can be measured in numerical units (e.g., utils), and these measurements can be added and compared.
5. **Diminishing Marginal Utility:** As a consumer uses more of a good, the additional utility they get from each extra unit decreases.
6. **Constant Utility of Money:** The satisfaction derived from money itself remains constant, regardless of how much income the consumer has.
7. **Utility is Additive:** The total utility from consuming multiple goods can be found by adding up the utilities from each individual good.
In simple words: Cardinal utility works on ideas like: people are smart with money, they have limited money, they want max happiness, happiness can be measured in numbers, extra happiness goes down as you get more, and money's value stays the same.
🎯 Exam Tip: Listing at least 3-4 distinct assumptions, especially "cardinal measurability" and "diminishing marginal utility," is important for a complete answer.
Question 20. What are the stages of total utility? Describe them.
Answer: Total utility goes through three main stages:
(i) **First Stage (Increasing Utility):** In this stage, as a consumer increases the consumption of goods, the total utility also increases. This happens as long as marginal utility is positive. The total utility curve rises.
(ii) **Second Stage (Maximum Utility/Point of Satisfaction):** Here, the total utility reaches its highest point. At this stage, consuming an additional unit of the good provides no extra satisfaction, meaning marginal utility is zero. This is the point of saturation.
(iii) **Third Stage (Diminishing Utility):** If the consumer continues to consume the good beyond the point of maximum satisfaction, total utility starts to fall. This occurs because the marginal utility of additional units becomes negative, meaning they cause dissatisfaction.
In simple words: Total happiness first goes up, then it hits the highest point, and then it starts to fall if you keep consuming more.
🎯 Exam Tip: Clearly define each stage of total utility and relate it to the corresponding behavior of marginal utility (positive, zero, or negative).
Question 21. What are the forms of marginal utility?
Answer: Marginal utility can take three forms:
(i) **Positive Marginal Utility:** This occurs when consuming an additional unit of a good increases total satisfaction. The consumer is still gaining utility from each extra unit.
(ii) **Zero Marginal Utility:** This is the point where consuming an additional unit does not add any extra satisfaction to the total utility. At this point, total utility is at its maximum.
(iii) **Negative Marginal Utility:** This happens when consuming an additional unit actually decreases total satisfaction, causing dissatisfaction. The consumer has consumed too much of the good.
These forms are shown in the schedule below:
| Units of Goods | Marginal Utility | Total Utility |
|---|---|---|
| 1 | 100 | 100 |
| 2 | 80 | 180 |
| 3 | 60 | 240 |
| 4 | 40 | 280 |
| 5 | 20 | 300 |
| 6 | 0 (Zero) | 300 |
| 7 | -20 (Negative) | 280 |
| 8 | -40 (Negative) | 240 |
🎯 Exam Tip: When describing the forms of marginal utility, explain what each form means for total utility and provide a simple example if possible.
Question 22. Write down the drawbacks of cardinal utility analysis.
Answer: Cardinal utility analysis has several limitations:
1. **Unrealistic Assumption of Measurability:** It's difficult to measure the exact utility of different items a person consumes, making precise cardinal measurement impractical.
2. **Infinite Utility for Necessities:** For essential goods, the initial units might have extremely high utility, making the consumer's surplus seem infinitely large, which is not useful for analysis.
3. **No Simple Rule for Prestige Goods:** This analysis doesn't easily apply to luxury items like diamonds, where utility is often linked to social status rather than practical use.
4. **Constant Marginal Utility of Money:** The assumption that the utility of money itself remains constant is unrealistic, as the value of money can change for a person based on their income.
5. **One-Commodity Case Limitation:** Marshall's Law of Demand cannot be accurately applied beyond a single commodity, limiting its scope.
6. **Ignores Substitution and Income Effects:** Cardinal analysis doesn't separate the price effect into substitution and income effects, which are important in understanding consumer behavior.
7. **Cannot Explain Giffen Paradox:** It fails to explain situations like the Giffen paradox, where a rise in the price of a staple good leads to an increase in its demand.
8. **Over-assumption and Under-explanation:** It makes too many assumptions while explaining too little about complex consumer choices.
In simple words: Cardinal utility has problems because happiness is hard to measure with numbers, it doesn't work well for basic needs or fancy items, and it makes unrealistic assumptions about money's value.
🎯 Exam Tip: Focus on the core criticisms: the difficulty of utility measurement, the unrealistic assumption about the marginal utility of money, and its inability to explain complex phenomena like Giffen goods.
Question 23. Critically evaluate the concept of consumer's surplus.
Answer: The concept of consumer's surplus has faced several critical evaluations:
1. **Theoretical Fiction:** Critics argue that consumer's surplus is an imaginary concept because most consumers cannot pay more than their income, so the idea of paying a surplus is theoretical.
2. **Invalid Utility Concepts:** It relies on the idea that different units of goods provide varying amounts of satisfaction, which is questionable in practice.
3. **Ignores Interdependence of Goods:** This concept doesn't fully account for how the utility of one good is affected by the availability or price of substitute and complementary goods.
4. **Questionable Assumptions:** It rests on assumptions like the cardinal measurability of utility and the constant marginal utility of money, which are often considered unrealistic.
In simple words: Consumer's surplus is criticized because it's hard to measure, people usually can't pay extra anyway, it doesn't think about how different goods are linked, and it uses assumptions that might not be true.
🎯 Exam Tip: Highlight the criticisms related to measurability of utility and the constant marginal utility of money, as these are fundamental assumptions that are often challenged.
Question 24. What is the budget set and when does it change?
Answer: A budget set, also known as an opportunity set, includes all the possible combinations of goods and services that a consumer can afford to buy given their income and the current prices of those goods. It is represented graphically by the area on or below the budget line. The budget set changes under the following conditions:
1. **Change in Income:** If a consumer's income increases, they can afford more goods, so the budget line shifts outwards, increasing the budget set. If income decreases, the budget line shifts inwards, reducing the budget set.
2. **Change in Price of Goods:** If the price of one good changes while income and the price of the other good remain constant, the budget line will pivot. For example, a decrease in the price of Good X will make the budget line pivot outwards on the X-axis, increasing the budget set.
In simple words: A budget set is all the items you can buy with your money. It changes if your income goes up or down, or if the prices of things you want to buy change.
🎯 Exam Tip: Clearly define the budget set and provide distinct explanations for how changes in income and changes in prices affect its size and position.
RBSE Class 12 Economics Chapter 2 Long Answer Type Questions
Question 1. Briefly compare the cardinal and ordinal utility approaches.
Answer: Both cardinal and ordinal utility approaches help explain consumer behavior, but they differ mainly in how they view utility. Many of their underlying assumptions, like consumer rationality, transitivity of choices, and limited income, are similar.
**Cardinal Utility Approach:**
* Assumes utility can be measured numerically (e.g., in 'utils').
* Believes utility is quantifiable, allowing for statements like "Good A gives twice as much utility as Good B."
* Developed by economists like Marshall and Pigou.
* Relies on the concept of diminishing marginal utility.
**Ordinal Utility Approach:**
* Assumes utility cannot be measured numerically but can only be ranked or ordered.
* Consumers can say they prefer Good A over Good B, but not by how much.
* Uses indifference curves and budget lines to represent preferences and constraints.
* Developed by economists like J.R. Hicks and R.G.D. Allen.
Despite their differences in measuring utility, both approaches often arrive at similar conclusions regarding consumer equilibrium, such as the conditions for maximizing satisfaction given income and prices.
In simple words: Cardinal utility thinks you can put a number on happiness, while ordinal utility just says you can rank things from most to least favorite. Both help us understand what people choose to buy.
🎯 Exam Tip: Focus on the main distinction: cardinal assigns numbers, ordinal assigns ranks. Mentioning key economists for each approach also adds value.
Question 2. How does a consumer reach equilibrium position when he is buying only one commodity? Or Explain consumer's equilibrium in case of a single commodity, with the help of a utility schedule.
Answer: A consumer reaches equilibrium when buying a single commodity (say, Good X) when the marginal utility derived from that commodity, adjusted for its price, equals the marginal utility of money. This can be expressed as: \( \frac{MU_X}{P_X} = MU_m \), where \( MU_m \) is the marginal utility of money. If we assume \( MU_m = 1 \), the condition simplifies to \( MU_X = P_X \).
Let's consider an example with a utility schedule (similar to one provided in the source):
Suppose the price of Good X is Rs 4 per unit, and the marginal utility of money (\( MU_m \)) is 4 utils (meaning Rs 1 is worth 4 utils to the consumer).
| Units of X | \(MU_X\) | \(MU_X / P_X\) (Utility per Rupee) |
|---|---|---|
| 1 | 40 | 10 |
| 2 | 28 | 7 |
| 3 | 16 | 4 |
| 4 | 10 | 2.5 |
| 5 | 0 | 0 |
| 6 | -5 | -1.25 |
**1st unit of X:** \( MU_X = 40 \) utils. Utility per rupee is 10 utils (\( 40/4 \)). Since 10 utils > 4 utils (\( MU_m \)), the consumer gains more satisfaction than the money spent, so they buy it.
**2nd unit of X:** \( MU_X = 28 \) utils. Utility per rupee is 7 utils (\( 28/4 \)). Since 7 utils > 4 utils, the consumer still gains, so they buy it.
**3rd unit of X:** \( MU_X = 16 \) utils. Utility per rupee is 4 utils (\( 16/4 \)). This equals the \( MU_m \). Here, the consumer is in equilibrium because the satisfaction gained from the last unit is equal to the value of money spent. So, they buy the 3rd unit.
**4th unit of X:** \( MU_X = 10 \) utils. Utility per rupee is 2.5 utils (\( 10/4 \)). This is less than \( MU_m \) (4 utils). The consumer would lose satisfaction if they bought this unit, so they will not buy the 4th unit of X.
Therefore, the consumer will purchase 3 units of Good X to maximize their satisfaction.
In simple words: When buying one item, a person stops when the extra happiness from the last item they buy is equal to the happiness they give up by spending money on it. If it gives less happiness, they stop.
🎯 Exam Tip: For single-commodity equilibrium, clearly state the condition \( MU_X/P_X = MU_m \). Use a step-by-step example from the schedule to show how the consumer makes decisions and reaches the equilibrium point.
Question 3. What are the assumptions of cardinal utility approach?
Answer: The cardinal utility approach is based on the following assumptions:
(i) **Rationality:** Consumers are assumed to be rational. They make choices to maximize their satisfaction, always picking goods that offer the highest utility first.
(ii) **Limited Money Income:** Consumers have a fixed and limited income to spend on goods and services, forcing them to make choices.
(iii) **Maximization of Satisfaction:** Every rational consumer's main goal is to get the most satisfaction possible from their available income.
(iv) **Utility is Cardinally Measurable:** Utility can be measured in exact numerical units (e.g., utils), allowing for clear comparisons like one good providing 'x' utils and another providing 'y' utils.
(v) **Diminishing Marginal Utility:** As a consumer uses more and more units of a specific commodity, the additional satisfaction (marginal utility) derived from each successive unit decreases.
(vi) **Constant Utility of Money:** The marginal utility of money is assumed to remain constant regardless of the consumer's income level, meaning the value of each rupee doesn't change as income changes.
(vii) **Utility is Additive:** Utilities from different goods can be added together to find the total utility. This implies that utilities are independent of each other.
In simple words: The cardinal utility method assumes people are smart, have limited money, want maximum happiness, can measure happiness with numbers, get less extra happiness from each added item, and the value of money itself stays the same.
🎯 Exam Tip: Memorize the core assumptions like 'cardinal measurability,' 'rationality,' and 'diminishing marginal utility,' as they are critical to this approach.
Question 3. What are the assumptions of cardinal utility approach?
Answer: The cardinal utility approach is based on the following assumptions:
(i) Rationality: Consumers are believed to make smart choices. They buy items that give them the most satisfaction first, and those that give less satisfaction last.
(ii) Limited Money Income: People have a fixed amount of money to spend on various goods and services.
(iii) Maximization of Satisfaction: Every wise consumer aims to get the highest possible happiness or satisfaction from their available money.
(iv) Utility is Cardinally Measurable: Utility, which is the satisfaction from a good, is assumed to be measurable using numbers, like 1, 2, 3 units of satisfaction.
(v) Diminishing Marginal Utility: As a consumer uses more and more units of a specific product, the extra satisfaction they get from each additional unit decreases.
(vi) Constant Utility of Money: The value or satisfaction gained from each unit of money (like one Rupee) is assumed to remain constant, regardless of the consumer's income or spending level.
(vii) Utility is Additive: The utility from different units of a good can be added together to find the total utility. This means total satisfaction can be calculated by summing up the utility from each consumed unit.
In simple words: This approach assumes that people make smart choices with their limited money to get the most happiness, and that this happiness can be measured using numbers and added up. It also assumes that extra happiness from each new item goes down.
🎯 Exam Tip: When listing assumptions for economic theories, focus on clarity and conciseness. Explaining each point in simple terms ensures a deeper understanding and better scores.
Question 4. What are the assumptions of ordinal utility approach?
Answer: The assumptions of the ordinal utility approach are as follows:
(ii) Ordinal Utility: This approach assumes that satisfaction cannot be measured with exact numbers. Instead, consumers can only rank their preferences, for example, they can say they prefer combination A over B, but not by how much.
(iii) Transitivity and Consistency of Choice: Consumers' choices are logical. If a consumer prefers item A over B, and B over C, then they must also prefer A over C. Also, choices should be consistent, meaning preferences do not change randomly over time if conditions remain the same.
(iv) Non-saturation: Consumers are never fully satisfied with any one product. They always prefer to have more of all goods, as more quantity generally leads to more satisfaction.
(v) Diminishing Marginal Rate of Substitution: This principle states that as a consumer gets more of one good, they are willing to give up less and less of another good to get an additional unit of the first, while keeping their total satisfaction level unchanged.
In simple words: This approach believes people can only rank what they like best, not measure it with numbers. It assumes their choices are logical and they always want more goods, and that they will give up less of one good for more of another as they get more of it.
🎯 Exam Tip: Differentiate clearly between cardinal (measurable utility) and ordinal (rankable preferences) assumptions. Understanding these core differences is crucial for comparative analysis.
Question 5. What are the applications and uses of diminishing marginal utility?
Answer: The law of diminishing marginal utility has many important uses in both economic theory and government policy. Here are some of its main applications:
(i) Explaining Prices: This law helps us understand how the prices of goods are determined. For instance, things available in large quantities, like water, have a low price because people get very little extra satisfaction (marginal utility) from consuming an additional unit. On the other hand, scarce items like diamonds have a very high price.
(ii) Fiscal Policy: Another important use is in how governments manage their finances (fiscal policy). In a welfare state, the government often redistributes income to improve people's well-being. This is done by taxing wealthy individuals more (progressive income taxes) and spending that money on social services for the poor. This policy is based on the idea that the wealthy get less additional satisfaction from their last rupee compared to how much satisfaction the poor would get from that same rupee. This transfer of income aims to increase the overall economic welfare of the community.
In simple words: This law helps explain why things like water are cheap and diamonds are expensive. It also guides governments in taxing the rich more and helping the poor, because the rich value their extra money less than the poor do, which increases overall happiness.
🎯 Exam Tip: Connect economic laws to real-world examples and policy implications. For instance, linking diminishing marginal utility to water-diamond paradox or progressive taxation makes the concept tangible.
Question 6. What is meant by marginal rate of substitution? What is its relationship with marginal utility?
Answer: The Marginal Rate of Substitution (MRS) is the rate at which a consumer is willing to give up one product to get one more unit of another product, while still maintaining the same level of satisfaction. It represents the slope of an indifference curve. This concept is a key tool in analyzing consumer demand using indifference curves. It shows the consumer's readiness to trade goods X and Y.
Here is an indifference schedule:
| Combination | Good X | Good Y | \( MRS_{xy} \) |
|---|---|---|---|
| A | 1 | 12 | 4 |
| B | 2 | 8 | 3 |
| C | 3 | 5 | 2 |
| D | 4 | 3 | 1 |
| E | 5 | 2 |
Relationship between Marginal Rate of Substitution (\( MRS_{xy} \)) and Marginal Utilities:
Along an indifference curve, the total satisfaction stays the same. This means any gain in satisfaction from consuming an extra unit of good X is exactly balanced by a loss in satisfaction from giving up some units of good Y. So, the total change in utility along the curve is zero.
The gain in utility from an extra unit of good X is \( \frac{\Delta U}{\Delta X} \).
The loss in utility from giving up units of good Y is \( \frac{\Delta U}{\Delta Y} \).
Since the gain and loss in utility must be equal for satisfaction to remain constant, we have:
Gain in utility from X = Loss in utility from Y
\( \Delta X \cdot \frac{\Delta U}{\Delta X} = \Delta Y \cdot \frac{\Delta U}{\Delta Y} \)
Rearranging this, we get:
\( \frac{\Delta Y}{\Delta X} = \frac{\Delta U / \Delta X}{\Delta U / \Delta Y} \)
We know that \( \frac{\Delta U}{\Delta X} \) is the marginal utility of X (\( MU_X \)), and \( \frac{\Delta U}{\Delta Y} \) is the marginal utility of Y (\( MU_Y \)).
So, the Marginal Rate of Substitution of X for Y is:
\( MRS_{xy} = \frac{\Delta Y}{\Delta X} = \frac{MU_X}{MU_Y} \)
This means the amount of Good Y a consumer gives up for Good X to keep the same satisfaction is equal to the ratio of their marginal utilities.
In simple words: MRS tells us how much of one item you trade for another to keep your happiness the same. It is calculated by dividing the marginal utility of the good you gain by the marginal utility of the good you give up.
🎯 Exam Tip: Remember that MRS is always diminishing along an indifference curve because of the law of diminishing marginal utility, making the curve convex to the origin.
Question 7. Why do the indifference curves neither intersect nor are tangent to one another?
Answer: Indifference curves (ICs) never cross each other or touch at a single point. If they did, it would create a contradiction regarding consumer preferences and satisfaction levels. Such a situation would violate the assumption of transitivity in consumer choices, which means choices must be logically consistent.
Consider the following diagram:
In this figure, Indifference Curve 1 (IC₁) and Indifference Curve 2 (IC₂) intersect at point A.
If point A is on IC₁, then all points on IC₁ (like point C) represent the same level of satisfaction as A. So, satisfaction at A = satisfaction at C.
If point A is on IC₂, then all points on IC₂ (like point B) represent the same level of satisfaction as A. So, satisfaction at A = satisfaction at B.
From these two statements, it would logically follow that satisfaction at B = satisfaction at C. However, looking at the diagram, point B has more of both goods compared to point C (or at least more of one good and same of other on the dashed line, implying B is preferred). According to the assumption that a consumer always prefers more to less (monotonic preferences), point B should offer a higher level of satisfaction than point C. This contradicts our earlier conclusion that B and C offer equal satisfaction. Therefore, indifference curves cannot intersect or be tangent to each other.
In simple words: Indifference curves cannot cross because if they did, it would mean one point offers two different levels of happiness, or that a 'better' combination of goods gives the same happiness as a 'worse' one. This breaks the basic rules of how people make choices.
🎯 Exam Tip: When drawing diagrams to explain why ICs don't intersect, clearly label the curves and points. Use the transitivity assumption to logically derive the contradiction.
Question 8. What do you understand by indifference curve of perfect substitutes and perfect complements?
Answer: The shape of an indifference curve shows how easily one product can be replaced by another without changing satisfaction.
When two goods are **perfect substitutes**, it means a consumer sees them as exactly the same and can swap one for the other at a fixed rate without changing their satisfaction. For example, two different brands of identical sugar. In this case, the indifference curve is a straight line because the rate at which you can substitute them (Marginal Rate of Substitution) stays constant.
On the other hand, if goods are **perfect complements**, it means they are always used together in a fixed ratio, like a left shoe and a right shoe. You can't use one effectively without the other. In this situation, the indifference curve is L-shaped, with a right-angle bend. This shape shows that you get no extra satisfaction if you have more of one good but not the other in the correct ratio. For example, having many left shoes but only one right shoe doesn't increase your satisfaction after the first pair.
In simple words: For perfect substitutes, indifference curves are straight lines because you can swap them easily. For perfect complements, they are L-shaped because you need them together in a specific amount.
🎯 Exam Tip: Clearly distinguish between the shapes of indifference curves for substitutes (straight lines) and complements (L-shaped), and understand the economic reasoning behind each shape.
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RBSE Solutions Class 12 Economics Chapter 2 Consumers Equilibrium
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