1.

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.

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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