An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 3.333 minutes, Poisson distribution. An agent spends about 6 minutes per customer, exponentially distributed. All other appropriate assumptions hold.
a. What is the average number in line waiting for service?
b. What is the average wait time in line waiting for service?
c. If a third agent is added, what is the average number in line waiting for service?
d. If a third agent is added, what is the average wait time in line waiting for service?