Frans Optimal Study Time Problem: Fran forgot to study for her calculus test until late

Chapter 10, Problem 5

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Frans Optimal Study Time Problem: Fran forgot to study for her calculus test until late Sunday night. She knows she will score zero if she doesnt study at all and that her potential score will be if she studies for time t, in hours. She alsorealizes that the longer she studies, the morefatigued she will become. So, her actual scorewill be less than the potential score. Herfatigue factor isThis is the number she must multiply by thepotential score to find her actual grade, G. Thatis, G = S F.a. Sketch the graphs of S, F, and G versustime, t.b. What is the optimal number of hours forFran to study? That is, how long should shestudy to maximize her estimated grade, G?c. How many points less than the optimumwill Fran expect to make if she studiesi. 1 hour more than the optimumii. 1 hour less than the optimum

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