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, 4:00p.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. (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 "O". Starting Time Officers Starting 8:00 a.m. 3 Noon 3 4:00 p.m. 7 8:00 p.m. 0 Midnight 4 4:00 a.m. 2