Later, the teaching assistant in Clancy’s economics course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 15 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading.Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading?

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Asked Sep 1, 2019
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Later, the teaching assistant in Clancy’s economics course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 15 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading.
Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading?
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Expert Answer

Step 1

As per the question, solving 15 problems is equivalent to 1 hour of reading. From the marginal gain table below we know that Clancy does 40 questions in the first hour, 30 in the second hour, 20 in the third hour and 10 in the last hour.

In the first hour she does 40 problems which is equivalent to 2.67 (40/15)  hours of reading. If  Clancy does more t...

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Total Problems Time Answered Marginal Gain 8:00 AM 0 9:00 AM 40 40 10:00 AM 70 30 11:00 AM 90 20 100 Noon 10

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