Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make Jack a dull boy.” As a result, Jack wants to apportion his available time of about 10 hours a day between work and play. He estimates that play is twice as much fun as work. He also wants

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make
Jack a dull boy.” As a result, Jack wants to apportion his available time of about 10 hours a
day between work and play. He estimates that play is twice as much fun as work. He also wants
to study at least as much as he plays. However, Jack realizes that if he is going to get all his
homework assignments done, he cannot play more than 4 hours a day. How should Jack allocate
his time to maximize his pleasure from both work and play?

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