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 5 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 that should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. If your answer is zero, enter "0". Starting Time Officers Starting 8:00 a.m. Noon 4:00 p.m. 8:00 p.m. Midnight 4:00 a.m.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 66P
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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
Noon-4:00 p.m.
6.
4:00 p.m.-8:00 p.m.
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 that should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. If your answer is zero,
enter "0".
Starting Time
Officers Starting
8:00 a.m.
Noon
4:00 p.m.
8:00 p.m.
Midnight
4:00 a.m.
Transcribed Image Text: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 Noon-4:00 p.m. 6. 4:00 p.m.-8:00 p.m. 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 that should be scheduled to begin the 8-hour shifts at each of the six times to minimize the total number of officers required. If your answer is zero, enter "0". Starting Time Officers Starting 8:00 a.m. Noon 4:00 p.m. 8:00 p.m. Midnight 4:00 a.m.
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