4. A decision at the margin Darnell is a hard-working college freshman. One Thursday, 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 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 Darnell's first hour of work, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Darnell's third hour of work, from 10:00 AM to 11:00 AM, is problems. Later, the teaching assistant in Darnell's math course gives him some advice. "Based on past experience," the teaching assistant says, "working on 87.5 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? O O hours working on problems, 4 hours reading O 1 hour working on problems, 3 hours reading O 2 hours working on problems, 2 hours reading O 3 hours working on problems, 1 hour reading

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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Keep the Highest / 3
4. A decision at the margin
Darnell is a hard-working college freshman. One Thursday, 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
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 Darnell's first hour of work, from 8:00 AM to 9:00 AM, is
problems.
The marginal gain from Darnell's third hour of work, from 10:00 AM to 11:00 AM, is
problems.
Later, the teaching assistant in Darnell's math course gives him some advice. "Based on past experience," the teaching assistant says, "working on
87.5 problems raises
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?
0 hours working on problems, 4 hours reading
1 hour working on problems, 3 hours reading
2 hours working on problems, 2 hours reading
3 hours working on problems, 1 hour reading
Transcribed Image Text:Attempts Keep the Highest / 3 4. A decision at the margin Darnell is a hard-working college freshman. One Thursday, 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 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 Darnell's first hour of work, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Darnell's third hour of work, from 10:00 AM to 11:00 AM, is problems. Later, the teaching assistant in Darnell's math course gives him some advice. "Based on past experience," the teaching assistant says, "working on 87.5 problems raises 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? 0 hours working on problems, 4 hours reading 1 hour working on problems, 3 hours reading 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour reading
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