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A Student Taking Economics, Statistics, and Finance Has Decided to Spend

Question 42

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A student taking economics, statistics, and finance has decided to spend 9 hours per week studying. The objective is to maximize the average grade, which means maximizing the total grade in the three courses. The table shows the student's estimate of the relation between time spent studying each course and the grade for each course.

 Grade ln  Hours of StudyEconomics Statistics Finance 05042561625468271647637972824858087588849069087937928995\begin{array}{llll}&&\text { Grade ln }\\ \text { Hours of Study}& \text {Economics }& \text {Statistics }& \text {Finance }\\0 & 50 & 42 & 56 \\1 & 62 & 54 & 68 \\2 & 71 & 64 & 76 \\3 & 79 & 72 & 82 \\4 & 85 & 80 & 87 \\5 & 88 & 84 & 90 \\6 & 90 & 87 & 93 \\7 & 92 & 89 & 95\end{array}
-What is the maximum AVERAGE grade the student can earn if she studies 9 hours per week?


A) 80
B) 80.3
C) 82
D) 78.3
E) none of the above

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