Question: In a manufacturing facility, each machine malfunctions, on average, once every 90 minutes. The time between breakdowns is exponentially distributed. Mechanics are assigned to

In a manufacturing facility, each machine malfunctions, on average, once every 90

In a manufacturing facility, each machine malfunctions, on average, once every 90 minutes. The time between breakdowns is exponentially distributed. Mechanics are assigned to reset a machine that malfunctions. The time to repair a machine is exponentially distributed with a mean of 15 min. Each mechanic costs $50/ hr to the company. Each hour that a machine is not working costs the company $500 in lost production. If there are 120 machines, and management has decided to assign them to m mechanics, how many mechanics must be hired?

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