Consider the design of an automobile tag facility. Customers arrive at random to purchase their automobile tags at a rate of 100/h. The time for a clerk to serve a customer varies but averages 5 min.

1. What is the minimum number of clerks required?

2. assume that all of the times are exponentially distributed. How long, on average, do the customers wait in the queue if there are 10 clerks? use the M/M/c model and an equation can be used to determine the probability that the system is empty, from which the average number in the system can be determined.