For a given week, Debra's Coffee House has available 1728 ounces of A grade coffee and 1760 ounces of B grade coffee. These are blended into 1-pound packages as follows: an economy blend that contains 2 ounces of A grade coffee and 10 ounces of B grade coffee, and a superior blend that contains 9 ounces of A grade coffee and 2 ounces of B grade coffee. (The remainder of each blend is made of filler ingredients.) There is a $3 profit on each economy blend package sold and a $4 profit on each superior blend package sold. Assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For a given week, Debra's Coffee House has available 1728 ounces of A grade coffee and 1760 ounces of B grade coffee. These are blended into 1-pound packages as follows: an economy blend that contains 2 ounces of A grade coffee and 10 ounces of B grade coffee, and a superior blend that contains 9 ounces of A grade coffee and 2 ounces of B grade coffee. (The remainder of each blend is made of filler ingredients.) There is a $3 profit on each economy blend package sold and a $4 profit on each superior blend package sold. Assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week?

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