Now suppose that police officers can work overtime by staying four hours beyond the normal quitting...

 

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Now suppose that police officers can work overtime by staying four hours beyond the normal quitting time. For simplicity, assume that if an officer works overtime, it must be for exactly four hours. Overtime is billed at a 50% premium. That is, for each hour of overtime worked, a police officer is paid 1.5 times the normal hourly wage. Because overtime costs are higher, do you think that the cost under the new optimal solution will increase? Explain. Reformulate and resolve the linear program. Explain how the new solution supports or refute your intuition. Now suppose that police officers can work overtime by staying four hours beyond the normal quitting time. For simplicity, assume that if an officer works overtime, it must be for exactly four hours. Overtime is billed at a 50% premium. That is, for each hour of overtime worked, a police officer is paid 1.5 times the normal hourly wage. Because overtime costs are higher, do you think that the cost under the new optimal solution will increase? Explain. Reformulate and resolve the linear program. Explain how the new solution supports or refute your intuition.

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Intuition suggests that the cost under the new optimal solution will incre... View the full answer