SOLUTION: B-Meg Company wants to mix exactly 700 pounds of special kind of dog food. There are two principal ingredients in the mixture, both sources of protein P1 and P2. The first source o

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Question 1129760: B-Meg Company wants to mix exactly 700 pounds of special kind of dog food. There are two principal ingredients in the mixture, both sources of protein P1 and P2. The first source of protein, p1 cost ₱50 a pound and P2 cost ₱80 per pound. Chemical constraints dictate that the mixture contain no more than 500 pound of P1 and must contain at least 300 pounds of P2. How many pounds of each ingredient must be utilized in order to minimize the cost?
Answer by greenestamps(13196) About Me  (Show Source):
You can put this solution on YOUR website!


P2 costs more per pound than P1; so to minimize cost they need to use the least amount of P2 that satisfies the constraints.

The minimum allowed amount of P2 is 300 pounds. That leaves 400 pounds for P1, and that amount is less than the maximum allowable amount.

So the minimum cost is with 300 pounds of P2 and 400 pounds of P1.