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RS Aggarwal - Mathematics

33. Linear Programming

1. Relation
2. Functions
3. Binary Operations
4. Inverse Trigonometric Functions
5. Matrices
6. Determinants
7. Adjoint and Inverse of a Matrix
8. System of Linear Equations
9. Continuity and Differentiability
10. Differentiation
11. Applications of Derivatives
12. Indefinite Integral
13. Method of Integration
14. Some Special Integrals
15. Integration Using Partial Fractions
16. Definite Integrals
17. Area of Bounded Regions
18. Differential Equations and Their Formation
19. Differential Equations with Variable Separable
20. Homogeneous Differential Equations
21. Linear Differential Equations
22. Vectors and Their Properties
23. Scalar, or Dot, Product of Vectors
24. Cross, or Vector, Product of Vectors
25. Product of Three Vectors
26. Fundamental Concepts of 3-Dimensional Geometry
27. Straight Line in Space
28. The Plane
29. Probability
30. Bayes’s Theorem and its Applications
31. Probability Distribution
32. Binomial Distribution
33. Linear Programming

Exercise 33A

1 2 3 4 5 6 7 8 9 10 11

Exercise 33B

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Q. 21

A manufactu

Class 12th RS Aggarwal - Mathematics 33. Linear Programming

Answer :

Let x and y be number of A and B products.

∴According to the question,

0.5x + y , 200x + 300y

Maximize Z = 20x + 30y

The feasible region determined by 0.5x + y , 200x + 300y is given by

The corner points of feasible region are A(14,33) , B(14,24) , C(26,16), D(48,16).The value of Z at corner points are

The maximum value of Z is 1440 at point (48,16).

Hence, the manufacturer should manufacture 48 A products and 16 B products to maximize their profit of Rs.1440.

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