The average number of customers waiting for service

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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 6 clerks are used

(B) the minimum number of clerks needed to keep the average time in the system to under 5 minutes

(C) If clerk cost is $30 per hour and customer waiting time represents a cost of $20 per hour, how many clerks can be justified on a cost basis?

Reference no: EM13844868

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