Hilary is a hard-working college senior. One Thursday, she decides to work nonst

Question

Hilary is a hard-working college senior. One Thursday, she decides to work nonstop until she has answered 200 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her onger to solve each problem Time 8:00 AM 9:00 AM 10:00 AM 11:00 AM Noon Total Problems Answered 80 140 180 200 Use the table to answer the following questions. The marginal, or additional, gain from Hilary's second hour of work, from 9:00 AM to 10:00 AM, s60 problems. The marginal gain from Hilary's fourth hour of work, from 11:00 AM to noon, is 20 problems. Later, the teaching assistant in Hilary's math course gives her some advice. "Based on past experience," the teaching assistant says, "working on 30 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 her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems, and how many should she have spent 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 reading 4 hours working on problems, O hours reading

Explanation / Answer

Answer
Marginal gain =total of the hour -last hour total
Marginal gain of second hour=140-80=60
Marginal gain of 4th hour=200-180=20
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The 30 problem is equal to 1-hour reading and the reading is constant per hour
The maximum possible when the marginal outcome of both is equal or higher should choose
So he will choose to solve a problem for 3 hours and read for 1 hour because the 4th-hour problems solved is less than the 30 problems and reading an hour is equal to 30 problem-solving.
Option third

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