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 : |
$2x+y ≥8$ $2x+y ≤8$ $x+y ≥10$ $x+2y ≤10$ |
$x+y ≥10$ |
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 $x+y ≥10$ |