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objective functions, Mathematics

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For schedule consistency, you decide to require each officer to report for their eight-hour shift at 12 AM, 4 AM, 8 AM, 12 PM, 4 PM, or 8 PM. As the Director of Public Safety, you are tasked with hiring the minimum number of employees while meeting the university’s minimum request of police presence. How many officers should you hire to begin work at each time period so that the number of officers reporting on a given day is minimized?

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