Graphing was never one of Nathan's strengths, so it is up to you to develop a graphical solution to his problem and advise him on how much time should be invested in studying and how much time should be spent catching up on assignments
Nathan enters the final exam period needing to pull off a miracle to pass his three toughest classes, Healthy Life Choices, Success Central, and Walking Fitness. Naturally he would also prefer to expend as little effort as possible doing so and as luck would have it, he knows a guy that can help optimize his time and GPA using the magic of management science. The model they develop is built around the notion of time spent studying and doing all the assignments he has neglected throughout the semester. The model is as follows, where S represents time spent studying (in minutes) and A represents time spent making up assignments (also in minutes).
Maximize Z = 6S + 4A
subject to:
HLC 12S+10A ? 100
SC 6S + 8A ? 64
W 7S - 3A ? 36
Answer: The two corner points meriting investigation are (in (Studying, Assignments) order)
Z(10.67,0)=64
Z(6.48,3.13)=51.46 the optimal solution
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