Question: We are in a M / M / 1 / 3 queueing system in which we wish to determine the cost of operating the system.

We are in a M/M/1/3 queueing system in which we
wish to determine the cost of operating the system. Each customer in the queue costs us
$100 per hour and each customer being served costs us $50 an hour. Customers arrive at a
rate of 4 per hour and the server can serve customers at a rate of 5 per hour. The following
table provides Pn values, W, and Wq:

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