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in Linear Programming by (65.5k points)

Archana, a dietician wishes to mix two types of foods F1 and F2 in such a way that the vitamin contents of the mixture contains at least 6 units of vitamin A and 8 units of vitamin B. Food F1 contains 2 units/kg of vitamin A and 3 units/kg of vitamin B while food F2 contains 3 units/kg of vitamin A and 4 units/kg of Vitamin B. Food F1 costs Rs 50 per kg and food F2 costs Rs 75 per kg. Formulate the problem as L.P.P. to minimize the cost of the mixture.

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Vitamin - A Vitamin- B Cost
Food F1 2 3 50
Food F2 3 4 75
Min requirement 6 8

Let the units of food F, be x and food F, be y minimize 

z = 50x + 75y 

subject to the restrictions 

2x + 3y ≥ 6 

3x + 4y ≥ 8 x,y ≥ 0

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