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Ali is a student in XYZ university. All wants to apportion his available time of about 600 min. 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, Ali realizes that if he is going to get all his homework assignments done, he cannot play more than 4 hours a day. How should Ali allocate his time to maximize his pleasure from both work and play? a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.

Ali is a student in XYZ university. All wants to apportion his available time of about 600 min. 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, Ali realizes that if he is going to get all his homework assignments done, he cannot play more than 4 hours a day. How should Ali allocate his time to maximize his pleasure from both work and play? a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Ali is a student in XYZ university. All wants to apportion his available time of about 600 min. 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, Ali realizes that if he is going to get all his homework assignments done, he cannot play more than 4 hours a day. How should Ali allocate his time to maximize his pleasure from both work and play? a. Formulate a linear programming model for this problem. b. Solve this model by using graphical analysis.
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