Two officers are working in a police department. During a working day Officer One can either catch 20 criminals or she can write 60 reports. During a working day Officer Two can either catch 2 criminals of she can write 21 reports. The boss of the officers has the following utility function U=min(criminals; reports). Officers want to make their boss as happy as possible. Find how many criminals will be optimally caught during the day.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
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Two officers are working in a police department. During a working day Officer
One can either catch 20 criminals or she can write 60 reports. During a
working day Officer Two can either catch 2 criminals of she can write 21
reports. The boss of the officers has the following utility function
U=min(criminals; reports}. Officers want to make their boss as happy as
possible. Find how many criminals will be optimally caught during the day.
Transcribed Image Text:Two officers are working in a police department. During a working day Officer One can either catch 20 criminals or she can write 60 reports. During a working day Officer Two can either catch 2 criminals of she can write 21 reports. The boss of the officers has the following utility function U=min(criminals; reports}. Officers want to make their boss as happy as possible. Find how many criminals will be optimally caught during the day.
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