4. A decision at the margin Gilberto s a hard-working college sophomore. One Thu

Question

4. A decision at the margin Gilberto s a hard-working college sophomore. One Thursday, he decides to work nonstop until he has answered 100 practice problems for his physics course. He 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. Total Problems Answered Time 8:00 AM 9.00 AM 10:00 AM 11:00 AM Noon 40 70 90 100 Use the table to answer the following questions The marginal, or additional, gain from Gilberto's second hour of work, from 9:00 AM to 10:00 AM, is The marginal gain from Gilberto's fourth hour of work, from 11:00 AM to noon, is Later, the teaching assistant in Gilberto's physics course gives him some advice. "Based on past experience," the teaching assistant says, "working on 15 problems raises a students 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? hours working on problems,4 hours reading O 2 hours working on problems, 2 hours reading O 3 hours working on problems, 1 hour reading O 4 hours working on problems, 0 hours reading

Explanation / Answer

Following table shows the marginal or additional gain (problems solved) from each hour of study -

As above table shows,

The marginal, or additional, gain from Gilberto's second hour of work from 9 AM to 10 AM is 30 problems.

The marginal gain from Gilberto's fourth hour of work, from 11 AM to Noon is 10 problems.

The teaching assistant states that impact on exam score will be the same if student solves 15 problems or read textbook for 1 hour.

If Gilberto wants to maximize his output, then he will spend that much time on solving problems up to which he is able to solve 15 or more problems. Rest of the time, he will spend on reading text book.

The table provided above shows that upto devotion of 3 hours to solution of problems, the marginal output is greater than the 15 problems.

So, Gilberto should spend 3 hours in solving problems and 1 hour in studying textbook.

Hence, the correct answer is the option (3).

Time Total Problems Answered Marginal or additional gain 8 AM 0 - 9 AM 40 (40 - 0) 40 10 AM 70 (70 - 40) 30 11 AM 90 (90 - 70) 20 Noon 100 (100 - 90) 10

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