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 four minutes each. Find:
(A) the average number of customers waiting for service if six clerks are used.
(B) the minimum number of clerks needed to keep the average time in the system to under five 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?

Question

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The Answer of 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 four minutes each. Find:
(A) the average number of customers waiting for service if six clerks are used.
(B) the minimum number of clerks needed to keep the average time in the system to under five 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?

During the Early Morning Hours, Customers Arrive at a Branch