Homework Ch 01 Van is a hardworking college junior One Satur

Homework (Ch 01) Van is a hard-working college junior. One Saturday, 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 8:00 AM 9:00 AM 10:00 AM 11:00 AM Noon Total Problems Answered 100 175 225 250 Use the table to answer the following questions. The marginal, or additional, gain from Van\'s first hour of work, from 8:00 AM to 9:00 AM, is The marginal gain from Van\'s third hour of work, from 10:00 AM to 11:00 AM, is problems. Later, the teaching assistant in Van\'s math 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? 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 O

Solution

1.

Marginal gain from first hour of work (8 AM to 9 AM) = 100-0 = 100 problems

2.

Marginal gain from third hour of work (10 AM to 11 AM) = 225-175 = 50 problems

3.

C

Explanation:

In the first hour, the number of problems solved is 100 and in the second hour, the number of problems solved is 75. Afterward the hourly output of problem solving is less than 62.5 for hour 3 (50) and 4 (25). So, it is good to give first 2 hour for problem solving and last two hours for reading to maximize the exam score.