A diet is to contain at least 80 units of minerals. Two foods $F_1 \: and F_2$are available. Food $F_1$ costs Rs.4 per unit food and $F_2$ costs Rs.6 per unit. A unit of food $F_1$ contains atleast 3 units of vitamin A and 4 units of minerals. A unit of food $F_2$contains atleast 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.

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