waiting queques, Operation Research

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During busy times, 60 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 5 minutes, on average, to meet the information needs of a potential customer (assume an exponential distribution).

How many booth workers are required for the average potential customer to spend no more than 5 minutes waiting and being served? How many potential customers are waiting to be served, on average? What is the utilization rate of the booth workers?
How many booth workers are required for the average potential customer to spend no more than 4 minutes waiting and being served? How many potential customers are waiting to be served, on average? What is the utilization rate of the booth workers?


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