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Daily requirement of vitamin-A for adult...

Daily requirement of vitamin-A for adult women is

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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.

Food X contains 6 units of vitamin A per g and 7 units of vitamin B per g and costs Rs 2 per g. Food Y contains 8 units of vitamin A per g and food Y contains 8 units of vitamin A per g and 12 units of vitamin B per g and costs Rs 2.50 per g. The daily minimum requirement of vitamin A and vitamin B are 100 units and 120 uniys respectively. Formulate the above as a LPP to minimize the cost.

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