A diet is to contain at least 80 units of vitamin A and 100 units of minerals. Two foods $F_1 \: and F_2$ are available . Food $F_1$ costs Rs. 4 perunit and $F_2$ costs Rs. 6 per unit. One unit of food $F_1$ contains 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 and find graphically the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements.

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