Question: Assume Poisson arrival process and exponential service process in the following. Stop-n-Go Burgers has one drive-through window for takeouts. The customers arrive at an average

Assume Poisson arrival process and exponential service process in the following. Stop-n-Go Burgers has one drive-through window for takeouts. The customers arrive at an average rate of 20 cars per hour. On the average, it takes 2 minutes to serve a customer.

a. What are the values of lamda and mean? Indicate the answers as customers per hour.

b. What is the average number of customers in the system (waiting + being served)?

c. The manager of Stop-n-Go is considering adding a second drive-through window to speed up the service. This would provide a two-server system with average service length of 2 minutes. With two windows open, what is the average number of customers in the system?

d. Waiting cost of $15 is incurred for every hour a customer spends in the system. The service cost is $20 an hour for each window. Give the total hourly costs for 1-window option and 2-window option. Based on this, which option is better?

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