The College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the five copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days (or lambda = 0.40 failure/day). The college has a maintenance contract with the authorized dealer of the copy machines. Because the copy machines fail so frequently, the dealer has assigned one person to the college to repair them. The person can repair an average of 2.5 machines per day. Using the finite source model, answer the following questions:

a. What is the average utilization of the maintenance person?

b. On average, how many copy machines are being repaired or waiting to be repaired?

c. What is the average time spent by a copy machine in the repair system (waiting and being repaired)?

Please use the finite model only.