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CUET Mathematics 2022 PYQs16 July Shift 2. Free, no login required.

Algebra

past year questions, CUET Mathematics 2022 16 July Shift 2

Linear Programming

past year questions, Algebra, CUET Mathematics 2022 16 July Shift 2

Medium

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 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:

Solution

✅ Correct Option: 4

Constraints with ≥\geq create an unbounded region (B). Corner points: (0,8)(0, 8) where 2x+y=82x+y=8 meets y-axis, (10,0)(10, 0) where x+2y=10x+2y=10 meets x-axis, and intersection of two lines at (2,4)(2, 4). So B and E.

More from this set:

Question 41

Objective function of LPP is:

Question 42

The constraints are -

A. 2x+y≤82x + y \leq 8

B. 2x+y≥82x + y \geq 8

C. x+2y≤10x + 2y \leq 10

D. x+2y≥10x + 2y \geq 10

E. x,y≥0x, y \geq 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-

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