Chapter 4: Linear Programming Applications in Marketing, Finance, and Operations Management Problem A: 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: Minimum Officers on Duty Time of Day 8:00 A.M.-Noon Noon4:00 P.M. 4:00 P.M.-8:00 PM 8:00 P.M.-Midnight Midnight-4:00 A.M. 4:00 A.M.-8:00 A.M. 5 6 10 7 4 6 Determine the number of police officers that should be scheduled to begin the 8-hour shifts at each of the six times (8:00 A.M., noon, 4:00 P.M., 8:00 P.M., midnight, and 4:00 A.M.) 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.) - (Refer to self-test 8, Page 192; An Introduction to Management Science: Quantitative Approaches to Decision Making, Revised Thirteenth Edition. David R. Anderson, Dennis J. Sweeney) 1 Page