Consider a queueing situation involving a single server. Suppose service time is exponentially distributed with an expected value of 5 minutes per customer.

a. Suppose arrivals occur in a Poisson fashion and there is unlimited waiting capacity for the system. Determine the maximum arrival rate that will be acceptable if L can be no greater than 4.

b. Suppose arrivals occur deterministically. If it is desired that L be no greater than 4.0, what is the maximum arrival rate for the customers?

c. Determine the value of L when arrivals occur in a Poisson fashion, but with the following pattern.
Customers in System Arrival Rate (per hour)
0 15 1 10 2 5 3 0