Algebra

Linear Programming

Easy

Case Study

A dietician wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food 'I' contains 2 unit/kg of vitamin A and 1 unit/kg of vitamin C. Food 'II' contains 1 unit/kg of vitamin A and 2 unit/kg of vitamin C. It cost Rs.50 per kg to purchase Food 'I' and Rs 70 per kg to purchase Food 'II'

Let x kg of food 'I' and y kg of food 'II' be mixed together for daily vitamin requirement in the family at minimum cost. Based on this information answer the question:

Objective function of LPP is:

$z = 50x + 70y$

$z = 2x + y$

$z = x + 2y$

$z = 70x + 50y$

✅ Correct Option: 1

Cost of food I per kg is Rs 50, food II is Rs 70. Total cost $= 50x + 70y$ . We minimize this objective function.

Question 42

The constraints are -

A. $2x + y \leq 8$

B. $2x + y \geq 8$

C. $x + 2y \leq 10$

D. $x + 2y \geq 10$

E. $x, y \geq 0$

Choose the correct answer from the options given below:

Question 43

The type of feasible region and its corner points are.

A. bounded

B. unbounded

C. (0,5), (2,4), (10,0)

D. (0,8), (2,4), (4,0)

E. (0,8), (2,4), (10,0)

Choose the correct answer from the options given below:

Question 44

The feasible solution to the LPP is-

Question 45

The minimum cost of the mixture is-

Objective function of LPP is:

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)