2. A decision at the margin Dmitri is a hard-working college junior. One Thursda
ID: 1161309 • Letter: 2
Question
2. A decision at the margin Dmitri is a hard-working college junior. One Thursday, he decides to work nonstop until he has answered 100 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 10:00 AM 11:00 AM Noon Total Problems Answered 0 40 90 100 Use the table to answer the following questions The marginal, or additional, gain from Dmitri's first hour of work, from 8:00 AM to 9:00 AM, is problems The marginal gain from Dmitri's third hour of work, from 10:00 AM to 11:00 AM, is , problems Later, the teaching assistant in Dmitri's chemistry course gives him some advice. "Based on past experience," the teaching assistant says, "working on 35 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 2 hours working on problems, 2 hours reading 3 hours working on problems, 1 hour readingExplanation / Answer
The marginal, or additional, gain from Dmitri's first hour of work, from 8 AM to 9 AM, (40 - 0) 40 problems.
The marginal, or additional, gain from Dmitri's third hour of work, from 10 AM to 11 AM, is (90 - 70) 20 problems.
Working on 35 problems raises student's exam score about the same amount as reading the textbook for 1 hour.
Dmitri should devote that many hours in solving problems in which he will be able to solve more than or equal to 35 problems.
Only in first hour, Dmitri is able to solve more than 35 problems.
So,
Dmitri should devote 1 hour for problem solving and 3 hours in reading the textbook.
Hence, the correct answer is the option (2) [1 hour working on problems, 3 hours reading].
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