A dietician mixes together two kinds of food in such a way that the mixture contains at least 6 units of vitaminA, 7 units of vitaminB, 11 units of vitaminCand 9 units of vitaminD. The vitamin contents of 1 kg of foodXand 1 kg of foodYare given below:
| | VitaminA | VitaminB | VitaminC | VitaminD |
| FoodXFoodY | 12 | 11 | 13 | 21 |
One kg foodXcosts Rs 5, whereas one kg of foodYcosts Rs 8. Find the least cost of the mixture which will produce the desired diet.
