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You are taking two courses this semester, biology and chemistry. You have quizzes coming up in both classes. The table below shows your grade on

You are taking two courses this semester, biology and chemistry. You have quizzes coming up in both classes. The table below shows your grade on each quiz for different numbers of hours spent studying for each quiz (For the purposes of this problem, assume that each hour of study time can't be subdivided.). For instance, the table implies that if you spent 1 hour on chemistry and 2 hours on biology, you would get a 72 on the chemistry quiz and a

66 on the biology quiz.

Hours of Study

Chemistry

Biology

0

65

56

1

72

62

2

77

66

3

80

68

Your goal is to maximize the sum of your grades on the two quizzes. Use the idea of optimization using marginal analysis to decide how much time you would spend studying for each quiz if you had a total of 1, 2, or 3 hours to prepare for each exam.

If you had 1 hour should you study chemistry or biology?

If you had 2 hours how many hours would you spend on each subject?

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