Solution
The correct answer is 6x + 8y ≥ 100, 7x + 12y ≥ 120, x, y ≥ 0
EXPLANATION:
| |
Vitamin D |
Vitamin E |
Cost |
| x |
6 |
7 |
12 |
| y |
8 |
12 |
20 |
| Min Z |
100 |
120 |
|
To formulate the constraints for the Linear Programming Problem (LPP), we need to consider the minimum daily requirements of vitamins D and E.
Since Food X contains 6 units of Vitamin D per gram and 7 units of Vitamin E per gram, and Food Y contains 8 units of Vitamin D per gram and 12 units of Vitamin E per gram, the constraints will be set up based on the minimum consumption to meet the daily vitamin requirements.
Given the minimum daily requirement of 100 units of Vitamin D and 120 units of Vitamin E, we need to make sure we are consuming at least this amount.
Therefore, the correct constraints for the problem are:
6x + 8y ≥ 100 (for Vitamin D requirement) and 7x + 12y ≥ 120 (for Vitamin E requirement).
Along with these, x, y ≥ 0 as the quantity of food cannot be negative.
So, the correct answer is: 6x + 8y ≥ 100, 7x + 12y ≥ 120, x, y ≥ 0