# CBSE Class 12 Mathematics Linear Programming Assignment Set B

Read and download free pdf of CBSE Class 12 Mathematics Linear Programming Assignment Set B. Get printable school Assignments for Class 12 Mathematics. Class 12 students should practise questions and answers given here for Chapter 12 Linear Programming Mathematics in Class 12 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 12 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

## Assignment for Class 12 Mathematics Chapter 12 Linear Programming

Class 12 Mathematics students should refer to the following printable assignment in Pdf for Chapter 12 Linear Programming in Class 12. This test paper with questions and answers for Class 12 Mathematics will be very useful for exams and help you to score good marks

### Chapter 12 Linear Programming Class 12 Mathematics Assignment

(i) LPP and its Mathematical Formulation
LEVEL I
1. A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain atleast 8 units of vitamin A and 10 units of vitamin C. Food 'I‘ contains β units/kg of vitamin A and 1 unit/kg of vitamin C. Food 'II‘ contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs Rs 50 per kg to purchase Food 'I‘ and Rs 70 per kg to purchase Food 'II‘. Formulate this problem as a linear programming problem.

(ii) Graphical method of solving LPP (bounded and unbounded solutions)

LEVEL I
Solve the following Linear Programming Problems graphically:
1. Minimise Z = – 3x + 4 ysubject to x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0, y ≥ 0.
2. Maximise Z = 5x + 3ysubject to 3x + 5y ≤ 15, 5x + 2y ≤ 10, x ≥ 0, y ≥ 0.
3. Minimise Z = 3x + 5y suchthat x + 3y ≥ γ, x + y ≥ 2, x, y ≥ 0.

(iii) Diet Problem

LEVEL II

1. A diet for a sick person must contain at least 4000 units of vitamins, 50 units of minerals and 1,400 calories. Two foods X and Y are available at a cost of Rs. 4 and Rs. 3 per unit respectively. One unit of the food X contains 200 units of vitamins, 1 unit of mineral and 40 calories, whereas one unit of food Y contains 100 units of vitamins, 2 units of minerals and 40 calories. Find what combination of X and Y should be used to have least cost? Also find the least cost.
2. Every gram of wheat provides 0.1 g of proteins and 0.25 g of carbohydrates. The corresponding values for rice are 0.05 g and 0.5 g respectively. Wheat costs Rs. 10 per kg and rice Rs. 20 per kg. The minimum daily requirements of protein and arbohydrates for an average child are 50 gm and 200 gm respectively. In what quantities, should wheat and rice be mixed in the daily diet to provide the minimum daily requirements of protein and carbohydrates at minimum cost ?

 CBSE Class 12 Mathematics Linear Programming Assignment Set A CBSE Class 12 Mathematics Linear Programming Assignment Set B

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

We hope you liked the above assignment for Chapter 12 Linear Programming which has been designed as per the latest syllabus for Class 12 Mathematics released by CBSE. Students of Class 12 should download and practice the above Assignments for Class 12 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 12 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations.

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

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

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

Regular assignment practice helps to get a more comprehensive understanding of Chapter 12 Linear Programming concepts. Assignments play a crucial role in understanding Chapter 12 Linear Programming in CBSE Class 12. Students can download all the assignments of the same chapter in Class 12 Mathematics in Pdf format. You can print them or read them online on your computer or mobile.

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

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The assignments for Chapter 12 Linear Programming Class 12 Mathematics for have been made based on which syllabus

The Chapter 12 Linear Programming Class 12 Mathematics Assignments have been designed based on latest CBSE syllabus for Class 12 Mathematics issued for the current academic year

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All topics given in Chapter 12 Linear Programming Mathematics Class 12 Book for the current academic year have been covered in the given assignment

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