A coffee company has some pure Colombian coffee and some special-blend coffee re

Question

A coffee company has some pure Colombian coffee and some special-blend coffee remaining. The practice of the company has been to package a mixture of the two coffees into 1 pound packages as follows: a low-grade mixture containing 4 ounces of Colombian coffee and 12 ounces of special-blend coffee, and high-grade mixture containing 8 ounces of Colombian and 8 ounces of special-blend coffee. A profit of $3 per package is made on the low-grade mixture, whereas a profit of $4 per package is made on the high-grade mixture. This month, 120 pounds of special-blend coffee and 100 pounds of pure Colombian coffee remain. How many packages of each mixture should be prepared to maximize the profit?

Explanation / Answer

Let H = # packages of high grade mixture and L = # of low grade mixture. We want to maximize P = 0.3*L + 0.4*H Constraints are L >= 0 H >= 0 1/2H + 1/4L

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