Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Linear Programming

Question:

A dietician to mix two types of food in such a way that the vitamin contents of the mixture contain atleast 8 units of Vitamin A and 10 units of Vitamin C. Food 'I' contains 2 units/kg of Vitamin A and 1 unit/kg of Vitamin C while food 'II" contains 1 unit/kg of Vitamin A and 2 units/kg of Vitamin C. It costs ₹5 per kg to purchase food I and ₹7 per kg to purchase food II. If 'x' kg of food I is mixed with 'y' kg of food II, then the constraint pertaining to vitamin C contents will be :

Options:

$2x+y ≥8$

$2x+y ≤8$

$x+y ≥10$

$x+2y ≤10$

Correct Answer:

$x+y ≥10$

Explanation:

The correct answer is Option (3) → $x+y ≥10$

Vitamin C in

food I → 1 unit/kg

food II → 2 unit/kg

least amount required → 10 unit

so constraint is $x+y ≥10$