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A study of the multiple-server food-service operation at the Red Birds baseball

ID: 448334 • Letter: A

Question

A study of the multiple-server food-service operation at the Red Birds baseball park shows that the average time between the arrival of a customer at the food-service counter and his or her departure with a filled order is 15 minutes. During the game, customers arrive at the rate of four per minute. The food-service operation requires an average of 2 minutes per customer order. What is the service rate per server in terms of customers per minute? Round your answer to 2 decimal places. µ = What is the average waiting time in the line prior to placing an order? If required, round your answer to the nearest whole number. Wq = minutes On average, how many customers are in the food-service system? If required, round your answer to the nearest whole number. L =

Explanation / Answer

Mean service rate = 60/2 = 30 customers per hour or 0.5 customers per minute

Average waiting time in line = (1/15)/(1/2)(1/2 - 1/15) = 0.31

Average number of customers in the system = (1/15)/(1/2 - 1/15) = 0.15