Machines arrive for repair at the rate of six per hour


Question: Machines arrive for repair at the rate of six per hour following Poisson. The mechanics mean repair time is 15 minutes, which follows exponential distribution. The down time cost for the broken down machines per hour is Rs. 300. Mechanics are paid Rs. 60 per hour. Determine the optimal number of mechanics to be employed .to minimize the total cost.

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Mathematics: Machines arrive for repair at the rate of six per hour
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