During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour
(Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find:
(a) The average number of customers waiting for service if 5 clerks are used. (1 point)
(b) The minimum number of clerks needed to keep the average waiting time in the system to under 5
minutes. (1 point)
(c) If clerk cost is $45 per hour and customer waiting time represents a “cost” of $35 per hour, how
many clerks can be justified on a cost basis? You must show your work
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