Question: Problem 4 (a) In a department store, customers arrive at the rate of 45 per hour and the average service time is four minutes. The

Problem 4 (a) In a department store, customers

Problem 4 (a) In a department store, customers arrive at the rate of 45 per hour and the average service time is four minutes. The arrivals are described by Poisson distribution and the service times are exponentially distributed. If four sales clerks are used, find (i) the average number of customers in the queue (La), and (ii) the average time a customer spends waiting in the queue (W). Answer: (b) Waiting cost is $ 80 per hour and service cost per sales clerk is $ 8 per hour. Using the values computed earlier, calculate the total of the daily waiting cost and the service cost each day if four sales clerks are used. The store is open 10 hours a day. What is the total daily cost? Answer: Total Cost per hour = Total Cost per day=

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