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.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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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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