A duplicating machine maintained for office use is used and operated by people i

A duplicating machine maintained for office use is used and
operated by people in the office who need to make copies mostly by secretaries.
Since the work to be copied varies in length (number of pages of the original)
and copies required the service rate is randomly distributed but it does
approximate a Poisson having a mean service rate of 10 jobs per hour. Generally
the requirements for use are random over the entire 8 hour work day but arrive
at a rate of 5 per hour. Several people have noted that a waiting line develops
occasionally and have questioned the policy of maintaining only one unit. If
the time of a secretary is valued at $ 3.50 per hour make a analysis to
determine(a) Equipment utilization(b) The per cent time that an
arrival has to wait(c) The average system time(d) The average cost due to waiting
and operating the machine.