The Gotham City Police Department employs 30police officers. Each officer works 5 days per week. Thecrime rate fluctuates with the day of the week, so the numberof police officers required each day depends on which dayof the week it is: Saturday, 28; Sunday, 18; Monday, 18;Tuesday, 24; Wednesday, 25; Thursday, 16; Friday, 21. Thepolice department wants to schedule police officers tominimize the number whose days off are not consecutive.Formulate an LP that will accomplish this goal. (Hint: Havea constraint for each day of the week that ensures that theproper number of officers are not working on the given day.)
The Gotham City Police Department employs 30police officers. Each officer works 5 days per week. Thecrime rate fluctuates with the day of the week, so the numberof police officers required each day depends on which dayof the week it is: Saturday, 28; Sunday, 18; Monday, 18;Tuesday, 24; Wednesday, 25; Thursday, 16; Friday, 21. Thepolice department wants to schedule police officers tominimize the number whose days off are not consecutive.Formulate an LP that will accomplish this goal. (Hint: Havea constraint for each day of the week that ensures that theproper number of officers are not working on the given day.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Gotham City Police Department employs 30
police officers. Each officer works 5 days per week. The
crime rate fluctuates with the day of the week, so the number
of police officers required each day depends on which day
of the week it is: Saturday, 28; Sunday, 18; Monday, 18;
Tuesday, 24; Wednesday, 25; Thursday, 16; Friday, 21. The
police department wants to schedule police officers to
minimize the number whose days off are not consecutive.
Formulate an LP that will accomplish this goal. (Hint: Have
a constraint for each day of the week that ensures that the
proper number of officers are not working on the given day.)
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