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in Linear Programming by (58.4k points)

Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs. 60/ kg and Food Q costs t 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. Determine the minimum cost of the mixture.

1 Answer

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by (53.2k points)
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Best answer

The minimum value line

Z = 60x + 80y subject to 

(i) 3x + 4y ≥ 8 

(ii) 5x + 2y ≥ 11

The minimum value lies in the line joining the points (\(\frac{8}{3}, 0\)) and B(2, \(\frac{1}{2}\))

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