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You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica ($14/pound). You want to make a blend that costs $10/pound, and you want to make 50 pounds of it. You also want to be able to say "contains 20% Arabica" without lying. Set up and solve a linear system to find out how much of each type of coffee you should use, while spending the least money.

You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica ($14/pound). You want to make a blend that costs $10/pound, and you want to make 50 pounds of it. You also want to be able to say "contains 20% Arabica" without lying. Set up and solve a linear system to find out how much of each type of coffee you should use, while spending the least money.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica ($14/pound). You want to make a blend that costs $10/pound, and you want to make 50 pounds of it. You also want to be able to say "contains 20% Arabica" without lying. Set up and solve a linear system to find out how much of each type of coffee you should use, while spending the least money.
Transcribed Image Text:You have three types of ground coffee: cheap ($5/pound), medium ($8/pound), and expensive Arabica ($14/pound). You want to make a blend that costs $10/pound, and you want to make 50 pounds of it. You also want to be able to say "contains 20% Arabica" without lying. Set up and solve a linear system to find out how much of each type of coffee you should use, while spending the least money.
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