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Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain atleast 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs 60/kg and food Q costs Rs 80/kg. Food P contains 3 units/ kg of vitamin A and 5 units/kg of vitamin B while food Q contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Formulate the L.P.P for minimum cost of the mixture. |
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Answer» Let food P consist x kg and food Q consist y kg in mixture. Objective function is minimise cost Z = 60x + 80y Subject to constraints are 3x + 4y ≥ 8 5x + 2y ≥ 11 x, y ≥ 0 |
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