Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?

Question

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Answer 1

This is just a standard linear programming problem. For x breakfast packages and y afternoon packages, you want to

maximize p=1.50x+2.00y subject to
x/3 + y/2 <= 45
2x/3 + y/2 <= 70

Now just use your favorite linear programming tools.