Q2 Vitamins A and B are found in two different foods F1 and F2. One unit of food F1 contains 2 units of vitamin A and 5 units of vitamin B. One unit of food F2 contains 4 units of vitamin A and 2 units of vitamin B. one unit of food F1 and F2 cost Rs. 10 and 12.50 respectively. The minimum daily requirement (for a person) of vitamin A and B is 40 and 50 units respectively. Assuming that anything in excess of daily minimum requirement of vitamin A and B is not harmful. Find out the optimal minimum of food F1 and F2 at the minimum cost which meets the daily minimum requirement of vitamin A and B. Formulate this as a linear programming problem.
Ans: Minimise (Z) = 10×1+12.5×2
Subject to constraints
2×1+4×2≥40, 4×1+3×2≥50
Non Negative Restrictions x1, x2≥0
