The next four questions refer to the following case: The Denton County Sheriff\'

Question

The next four questions refer to the following case: The Denton County Sheriff's Department schedules some police officers for 8-hour shifts. The beginning times for the shifts are 2:00 am, 6:00 am, 10:00 am, 2:00 pm, 6:00 pm and 10:00 pm. An officer beginning a shift at one of these times works for the next 8 hours and he/she is paid $240 for the entire shift if beginning the shift anytime from midnight to noon or $300 for the shift if begin ions, the number of part-time reserve officers needed entire ning the shift anytime from noon to midnight. During normal weekday operati like to formulate a linear program and determine the least expensive way that part-time reserve 6:00 am, 10:00 am, 2:00 pm, 6:00 pm and 10:00 pm). Let Xi- the number of officers beginning varies depending on the time of the day. The department staffing guidelines require the following minimum number of part-time reserve officers on duty (see the table below). The Denton County Sheriff's Department would police officers could be scheduled to begin the 8-hour shifts at each of the six times (2:00 am, work at 2:00 am, X2- the number of officers beginning work at 6:00 am, etc. Minimum Officers on Duty Time of Day 2:00 am-6:00 am 6:00 am-10:00 am 10:00 am - 2:00 pm 2:00 pm-6:00 pm 6:00 pm -10:00 pm 10:00 pm-2:00 am 10 6 10 12

Explanation / Answer

Answer:---

8). b. MIN : 7(240)X1 + 10(240)X2 + 8(240)X3 + 6(240)X4 + 10(240)X5 + 12(240)X6

9). b.  X1 + X2 >= 7

10). c. 6:00 pm -- 10:00 pm

11). a. True

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