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The Charm City Manufacturing Company manufactures a product in an assembly line operation. One of the machines on the line is a drill press that has a single assembly line feeding into it. A partially completed unit arrives at the press to be worked on every 8 minutes, on average. The machine operator can process an average of 10.5 units per hour. Assume it is a single-server waiting line model.
(a) Determine the mean arrival rate and the mean service rate.
(b) Determine the probability that a unit will have an empty queue.
(c) Determine the average number of units in the queue and the average number of units in the system.
(d) Determine the average waiting time in the queue and the average total time in the system for a unit.
(e) Find the utilization factor of the operator.
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