Question: Machines at a production facility break down at the rate of three per hour, and the breakdowns are distributed in a Poisson manner. Downtime costs

Machines at a production facility break down at

Machines at a production facility break down at the rate of three per hour, and the breakdowns are distributed in a Poisson manner. Downtime costs the company $25 per hour per machine, and each maintenance worker receives $15 per hour. One worker can service machines at an average rate of five per hour distributed exponentially. What is the optimal maintenance crew size for servicing the machines in order to minimize the total cost

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