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Vitamins A and B are found in two differ...

Vitamins A and B are found in two different foods `F_1 \ a n d \ F_2` . One unit of food `F_1` contains 2 units of vitamin A and 3 units of vitamin B. One unit of food `F_2` contains 4 units of vitamin A and 2 units of vitamin B. One unit of food `F_1 \ a n d \ F_2` cost Rs. 50 and 25 respectively. The minimum daily requirements 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 optimum mixture of food `F_1 \ a n d \ F_2` at the minimum cost which meets the daily minimum requirement of vitamin A and B. Formulate this as a LPP.

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