One operator services a bank of five machines. Machine running and service times are both exponential. Machines run for an average of 180 minutes between service requirements, and service time averages 60 minutes. The operator receives $20 per hour in salary and fringe benefits, and machine downtime is $70 per hour.
a) If each machine produces 60 pieces per hour while running, find the hourly output of each machine, when waiting and service times are taken into account.
32.04
b) What is the average amount of time (in minutes) that a machine has to wait before being serviced by the operator?
97.08
c) Determine the optimum number of operators.
2
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Please help on how to solve those answers. Thank you