A diet is to contain atleast 80 units of vitamin A and 100 units of minerals. Two foods F1 and F2 are available. Food F1 costs Rs. 4 per unit and food F2 costs Rs. 6 per unit. One units of food F1 contains at 3 units of vitamin A and 4 units of minerals. One unit of food F2 contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.

A diet is to contain atleast 80 units of vitamin A and 100 units of mi

1.	A diet is to contain atleast 80 units of vitamin A and 100 units of minerals. Two foods F1 and F2 are available. Food F1 costs Rs. 4 per unit and food F2 costs Rs. 6 per unit. One units of food F1 contains at 3 units of vitamin A and 4 units of minerals. One unit of food F2 contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.
Answer» A diet is to contain atleast 80 units of vitamin A and 100 units of minerals. Two foods $F_{1} a n d F_{2}$ are available. Food $F_{1}$ costs Rs. 4 per unit and food $F_{2}$ costs Rs. 6 per unit. One units of food $F_{1}$ contains at 3 units of vitamin A and 4 units of minerals. One unit of food $F_{2}$ contains 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.