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**5. A decision at the margin**

Dmitri is a hard-working college freshman. One Sunday, he decides to work nonstop until he has answered 200 practice problems for his physics 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 | 80 |

10:00 AM | 140 |

11:00 AM | 180 |

Noon | 200 |

*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 physics course gives him some advice. "Based on past experience," the teaching assistant says, "working on 50 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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Answered by essa15 on coursehero.com

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