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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 (but do not solve) an LP model that will accomplish this goal.

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