Jack is an aspiring freshman at Ulern University. He realizes that “all work and no play make Jack a dull boy.” Jack wan

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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.” Jack wants to
apportion his available time of about 10 hrs 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 hrs a day. How should Jack allocate his
time to maximize his pleasure from both work and play?
(a) Formulate an LP model to answer to the question.
(b) Find the optimum solution using Excel solver or OPL. Attach
screenshots that show Excel setting or OPL code to solve the
LP.