01 May Question: 1) A decision at the margin Paolo is a hard-working college sophomore. One Sunday, he decides to …
1)
A decision at the margin
Paolo is a hard-working college sophomore. One Sunday, he decides to work nonstop until he has answered 250 practice problems for his math 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 | Total Problems Answered |
|---|---|
| 8:00 AM | 0 |
| 9:00 AM | 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 Paolo’s first hour of work, from 8:00 AM to 9:00 AM, is____problems
.The marginal gain from Paolo’s third hour of work, from 10:00 AM to 11:00 AM, is____problems.
Later, the teaching assistant in Paolo’s math course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 37.5 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?
A) 0 hours working on problems, 4 hours reading
B) 1 hour working on problems, 3 hours reading
C) 2 hours working on problems, 2 hours reading
D) 3 hours working on problems, 1 hour reading
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