Read and download free pdf of CBSE Class 12 Mathematics Linear Programming Worksheet Set A. Download printable Mathematics Class 12 Worksheets in pdf format, CBSE Class 12 Mathematics Chapter 12 Linear Programming Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 12 Assignments and practice them daily to get better marks in tests and exams for Class 12. Free chapter wise worksheets with answers have been designed by Class 12 teachers as per latest examination pattern

## Chapter 12 Linear Programming Mathematics Worksheet for Class 12

Class 12 Mathematics students should refer to the following printable worksheet in Pdf in Class 12. This test paper with questions and solutions for Class 12 Mathematics will be very useful for tests and exams and help you to score better marks

### Class 12 Mathematics Chapter 12 Linear Programming Worksheet Pdf

CBSE Class 12 Mathematics Linear Programming Worksheet Set A

More Questions

1.A firm manufactures jute bags and cloth bags. The total number of items it can manufacture is at most 24. A Jute bag requires 1 hour to be made while a cloth bag requires only half an hour. The maximum number of hours available per day is 6 hours. If the profit on a jute bag is Rs.30 and on a cloth bag is Rs.20, how many bags of each type must be made for maximum profit? Solve it graphically.

The manufacturer wants to replace cloth bags by plastic bags to increase his profit margin. Is it a good idea? If not, give reasons. Cloth bags are biodegradable while plastic is not. Also cloth bags can be reused.

2. A manufacturer makes cycles and scooters. Processing of these products is done on two machines A and B. The cycle parts need 2 hours on machine A and 6 hours on machine B. Parts of a scooter needs 4 hours on machine A and 2 hours on machine B.

Machine A is available for 16 hours per day and Machine B is available for 30 hours per day. Profit gained by the manufacturers from a cycle and a scooter is Rs.1000 and Rs.3000 respectively. Find with the help of a graph what should be the daily production of each of the two products to maximize the profit? Which of the above modes of transport is a better option and why?

Using cycles is a better option since it is environment friendly and reduces pollution. It is also a good exercise option.

3.There are two types of fertilizers that a farmer uses in his farm namely A and B. A consists of 10 % of nitrogen and 6% phosphoric acid while B contains 5% nitrogen and 10% phosphoric acid. The farmer needs at least 14 kg of nitrogen and 14 kg of phosphoric acid. If A costs Rs. 8/kg and B costs Rs. 6/kg, determine how much of each type of fertilizer should be used by the farmer so that the required nutrient levels are met at minimum cost. What is the minimum cost? The farmer is considering the option of using pesticides to increase his yield. What is your opinion?

Can he convert it into an organic farm? Pesticides may increase the yield but are harmful to mankind. Organic farming is a good option as it is free of use of any chemicals

**1. A farmer decides to plant upto 10 hectares with cabbages and potatoes. He decides to grow at least 2 but not more than 8 hectares of cabbages and at least 1 but not more than 6 hectares of potatoes. He can make a profit of Rs. 1500 per hectare on cabbages and Rs.2000 per hectare on potatoes. How should he plan his farming so as to maximize his profit. Keeping in mind the nutritional value of both vegetables, do you think the farmer’s production will help the community? Mention one value point the farmer display?.**

Ans: Potatoes are produced more and the farmer’s production will help the community as the potatoes have high protein value than cabbages. So the farmer promotes health awareness .

**2 A manufacturer produces two types of disposable plates, one using plastic and the other using bamboo. Three machines are required to produce the plates and the time in minutes is given below.**

**Each machine is available for a maximum of 6 hours per day. If the profit on each plate of plastic is 75 paise and profit on bamboo plate is 50 paise, how many plates of each type should the factory produce to maximize the profit. Which type of plates do you think should be promoted more and mention one value point as the reason.**

Ans: Bamboo plates should be promoted more as they are bio degradable and eco friendly.

**3. A principal decides to buy colour boxes and books as prizes for children. A colour box costs Rs.5 and a book costs Rs. 10.He wants to buy at least 4 of each of them. How many of each should he buy so that the expenditure does not exceed Rs.100 and at the same time can give maximum number of prizes? Which of the two , do you think will benefit the children more and mention one value point as the reason.**

Ans: Books can benefit more as it promotes reading habit of the children.

Or

Colour Boxes helps to improve their creativity .

CBSE Class 12 Mathematics Integrals Worksheet Set A |

CBSE Class 12 Mathematics Integration Worksheet |

## More Study Material

### CBSE Class 12 Mathematics Chapter 12 Linear Programming Worksheet

The above practice worksheet for Chapter 12 Linear Programming has been designed as per the current syllabus for Class 12 Mathematics released by CBSE. Students studying in Class 12 can easily download in Pdf format and practice the questions and answers given in the above practice worksheet for Class 12 Mathematics on a daily basis. All the latest practice worksheets with solutions have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their examinations. Studiestoday is the best portal for Printable Worksheets for Class 12 Mathematics students to get all the latest study material free of cost.

### Worksheet for Mathematics CBSE Class 12 Chapter 12 Linear Programming

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**Chapter 12 Linear Programming worksheet Mathematics CBSE Class 12**

All practice paper sheet given above for Class 12 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 12 can be assured that the answers have been also provided by our teachers for all test paper of Mathematics so that you are able to solve the problems and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 12 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 12 Mathematics students have been given on studiestoday.

**Chapter 12 Linear Programming CBSE Class 12 Mathematics Worksheet**

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**Worksheet for CBSE Mathematics Class 12 Chapter 12 Linear Programming**

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