Later, the teaching assistant in Eleanor's economics course gives her some advice. The teaching assistant says, "Based on past experience, working on 12.5 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 her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems and how many should she have spent reading?
What will be an ideal response?
2 hours working on problems, 2 hours reading
Eleanor should make her decision at the margin. Each hour, she should select the option that will improve her exam grade by the largest amount.
If she can do more than 12.5 problems in an hour, working on problems will help raise her grade more for that hour than reading would.
The marginal gain from the first hour is 20 problems. The marginal gain from the second hour is 35?20=15 problems. She will stop there, because she will get only 10 problems done if she spends the third hour working on problems. Therefore, she should stop working on problems and spend her remaining 2 hours reading instead.
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What will be an ideal response?
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