The College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the seven copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days? (or lambda equals 0.4

λ=0.4 ?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 2.6

2.6 machines per day. Using the? finite-source model, answer the following? questions:

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

rho

(Enter your response rounded to four decimal places.?)

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)?

Recall that the average time spent in the? system, including? service, in the? finite-source model is given by the? formula: