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.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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**The Clark County Sheriff’s Department Staffing Schedule**

The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The shifts start at 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. Each officer works for 8 consecutive hours. The number of officers needed varies depending on the time of day. 

**Staffing Requirements:**

- **8:00 a.m.–noon:** Minimum of 5 officers
- **Noon–4:00 p.m.:** Minimum of 6 officers
- **4:00 p.m.–8:00 p.m.:** Minimum of 7 officers
- **8:00 p.m.–midnight:** Minimum of 7 officers
- **Midnight–4:00 a.m.:** Minimum of 4 officers
- **4:00 a.m.–8:00 a.m.:** Minimum of 6 officers

**Objective:**

Determine the number of police officers that should be scheduled to start their 8-hour shifts at each listed time to minimize the total required number of officers. If a time slot requires no new officers, enter “0” in the field.

**Scheduling Template:**

- **Starting Time**:
  - 8:00 a.m.
  - Noon
  - 4:00 p.m.
  - 8:00 p.m.
  - Midnight
  - 4:00 a.m.

- **Officers Starting**: [Blank fields for input]

This exercise involves calculating the optimal distribution of officers across the shift start times to meet the minimum requirements while also ensuring efficiency.
Transcribed Image Text:**The Clark County Sheriff’s Department Staffing Schedule** The Clark County Sheriff’s Department schedules police officers for 8-hour shifts. The shifts start at 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. Each officer works for 8 consecutive hours. The number of officers needed varies depending on the time of day. **Staffing Requirements:** - **8:00 a.m.–noon:** Minimum of 5 officers - **Noon–4:00 p.m.:** Minimum of 6 officers - **4:00 p.m.–8:00 p.m.:** Minimum of 7 officers - **8:00 p.m.–midnight:** Minimum of 7 officers - **Midnight–4:00 a.m.:** Minimum of 4 officers - **4:00 a.m.–8:00 a.m.:** Minimum of 6 officers **Objective:** Determine the number of police officers that should be scheduled to start their 8-hour shifts at each listed time to minimize the total required number of officers. If a time slot requires no new officers, enter “0” in the field. **Scheduling Template:** - **Starting Time**: - 8:00 a.m. - Noon - 4:00 p.m. - 8:00 p.m. - Midnight - 4:00 a.m. - **Officers Starting**: [Blank fields for input] This exercise involves calculating the optimal distribution of officers across the shift start times to meet the minimum requirements while also ensuring efficiency.
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