Axis is an aspiring freshman at Saint Louis University

Axis is an aspiring freshman at Saint Louis University. He realizes that “all study and no play make Axis a dull boy.” As a result, Axis wants to apportion his available time of about 10 hours a day between study and play. He estimates that play is twice as much fun as study. He also wants to study at least as much as he plays. However, Axis realizes that if he is going to get all his homework done, he cannot play more than 4 hours a day. With the use of Linear Programming (LP), Axis allocate his time to maximize his pleasure from both study and play. 1. What should be the corresponding objective function for the LP model in this problem and the complete set of constraints? 2. Graph and identify how many corner points are there and which provides optimal solution to the problem


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