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:

The minimum cost of the mixture is-

Rs 560

Rs 380

Rs 320

Rs 500

✅ Correct Option: 2

At minimum point $(2, 4)$ : cost $= 50(2) + 70(4) = 100 + 280 =$ Rs 380.

Question 41

Objective function of LPP is:

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-

The minimum cost of the mixture is-

Solution

More from this set:

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CUET Mathematics Past Year Questions (Topic-Wise)