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A decision at the margin Dmitri is a hard-working college senior
A decision at the margin Dmitri is a hard-working college senior. One Tuesday, he decides to work nonstop until he has answered 250 practice problems for his chemistry course. He starts work at 8:00 AM and uses a table to keep track of his progress throughout the day. He notices that as he gets tired, it takes him longer to solve each problem. Time 8:00 AM 9:00 AM Total Problems Answered 0 100 10:00 AM 175 11:00 AM 225 Noon 250 Use the table to answer the following questions. The marginal, or additional, gain from Dmitri's second hour of work, from 9:00 AM to 10:00 AM, is 100 X problems. Points: 0 / 1 The marginal gain from Dmitri's fourth hour of work, from 11:00 AM to noon, is 50 X problems. Points: 0 / 1
Later, the teaching assistant in Dmitri's chemistry course gives him some advice. "Based on past experience," the teaching assistant says, "working on 62.5 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 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? X 1 hour working on problems, 3 hours reading O 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading
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