10.Users of a photocopy machine in a local office arrive according to a Poisson distribution and wait until they obtain the copies they desire. The mean arrival rate is 10 users per hour. The service times are exponentially distributed, with a mean service rate of 16 users per hour.

a. What is the utilization of the equipment?

b. Find the expected number of users in the line.

c. Find the expected number of users in the system.

d. What is the cost per 8-hour day for detaining persons to use the copier if the average user’s time is estimated to be worth $11 per hour?