The service counter in a local bank has two teller windows. Customers wait in a single line before being served by the first available teller. Historical records indicate that customers arrive at an average rate of 30 per hour and are served at an average rate of 24 per hour. The teller windows are open for 8 hours each day. The estimated cost of operating each teller windows is $30 per hour. The estimated cost of waiting is $20 per hour.
a. What is the utilization factor for the customer service counter?
b. What is the average number of customers waiting in line to be served?
c. What is the average amount of time that a customer spends waiting in line to be served?
d. What is the probability that there are no customers waiting in line to be served?
e. What is the total daily system cost?