Alex is a hard-working college sophomore. One Saturday, he decides to work nonstop until he has answered 50 practice problems for his economics 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 20 10:00 AM 35 11:00 AM 45 Noon 50   Use the table to answer the following questions. The marginal, or additional, gain from Alex’s second hour of work, from 9:00 AM to 10:00 AM, is   problems.   The marginal gain from Alex’s fourth hour of work, from 11:00 AM to noon, is   problems.   Later, the teaching assistant in Alex’s economics course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 7.5 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? 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

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Alex is a hard-working college sophomore. One Saturday, he decides to work nonstop until he has answered 50 practice problems for his economics 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 20
10:00 AM 35
11:00 AM 45
Noon 50
 
Use the table to answer the following questions.
The marginal, or additional, gain from Alex’s second hour of work, from 9:00 AM to 10:00 AM, is
 
problems.
 
The marginal gain from Alex’s fourth hour of work, from 11:00 AM to noon, is
 
problems.
 
Later, the teaching assistant in Alex’s economics course gives him some advice. “Based on past experience,” the teaching assistant says, “working on 7.5 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?
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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