The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty: Time of DayMinimum No. of Officers on Duty 8:00 a.m.–noon7 Noon–4:00 p.m.6 4:00 p.m.–8:00 p.m.7 8:00 p.m.–midnight7 Midnight–4:00 a.m.4 4:00 a.m.–8:00 a.m.6 Determine the number of police officers who should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. (Hint: Let x1 = the number of officers beginning work at 8:00 a.m., x2 = the number of officers beginning work at noon, and so on.) If your answer is zero, enter “0”. Starting TimeOfficers Starting 8:00 a.m. Noon 4:00 p.m. 8:00 p.m. Midnight 4:00 a.m.

Find the given details below:Time of DayMinimum No. of Officers on Duty8:00 a.m.–noon7Noon–4:00…

Answered: The Clark County Sheriff’s Department…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty:

	Time of Day	Minimum No. of Officers on Duty
	8:00 a.m.–noon	7
	Noon–4:00 p.m.	6
	4:00 p.m.–8:00 p.m.	7
	8:00 p.m.–midnight	7
	Midnight–4:00 a.m.	4
	4:00 a.m.–8:00 a.m.	6

Determine the number of police officers who should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. (Hint: Let x₁ = the number of officers beginning work at 8:00 a.m., x₂ = the number of officers beginning work at noon, and so on.) If your answer is zero, enter “0”.