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The Cark 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 pm midnight,

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The Cark 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 pm 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 am-noon 7 Noon-4:00p.m. 6 4:00 pm-8:00p.m. 7 7 8:00 pm -midnight Midnight-4:00 am 4:00 a.m.-8:00 a.m. 4 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 am Noon 4:00 pm 8:00 pm Midnight 4:00 am Consider the following network representation of a transportation problem: Des Moines 25 30 Jefferson City 16 Kansas City 15 10 Omaha St. Louis 10 Supplies Demands The supplies, demands, and transportation costs per unit are shown on the network. The optimal (cost minimizing) distribution plan is given below. Des Moines Kansas City St.Louis Supply Jefferson City 20 0 10 30 Omaha 5 15 0 20 Demand 25 15 10 Total Cost: $540 Find an alternative optimal solution for the above problem. If your answer is zero, enter "0". Des Moines Kansas City St. Louis Jefferson City Omaha Total Cost

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