2. A duplicating machine maintained for office use is used and operated by people in the office who need to make copies, mostly secretaries. Since the work to be copied varies in length (no. 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 12 jobs per hour. Generally the requirements for use are random over the entire 10 hour working day but arrive at a rate of 6 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 Rs.3.50 per hour, make an analysis to find a) Equipment utilization b) The percent time an arrival has to wait The average system time The average cost of waiting and operating the machine