Vitamins V and W are found in two different foods F1 and F2. One unit of food F1 contains 2 units of vitamin V and 3 units of vitamin W. One unit of food F2 contains 4 units of vitamin 'v' and 2 units of vitamin W. One unit of food F1 and F2 costs $6 and $5 respectively. The minimum daily requirements (for a person} of vitamins V and W are 40 and 50 units respectively. Assuming that excess amount is not harmful, find out the optimal mixture of foods F] and F2 at the minimum cost that meets the minimum daily requirement of vitamins V and W. Formulate the problem as linear programming