A dietician wishes 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 :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $x+2y ≥10$
Vitamin C in
food I → 1 unit/kg
food II → 2 unit/kg
If x kg of food I and y kg of food II are taken,
then the total Vitamin C = (1 × x) + (2 × y) = x + 2y units.
least amount required → 10 unit
so constraint is $x+2y ≥10$