This is a supply chain management question.

6. [10 points] 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 and u? 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