Question: A shipping company operates a docking facility. On average, 3 ships arrive to unload their cargoes per hour. A team of workers unloads each ship.

A shipping company operates a docking facility. On average, 3 ships arrive to unload their cargoes per hour. A team of workers unloads each ship. Each team costs $25 / hour. On average, each team can unload 6 ships in 5 hours. The firm pays an hourly charge of $10 per ship for the delay. Suppose the firm uses three teams of workers. On average, how many cargoes are in queue? How much is the total hourly delay cost? Answer both in order.

A shipping company operates a docking facility.

a) 0.04 and $0.4

b) 3.51 and $35.1

c) 6.01 and $60.1

d) 2 and $20

e) No answer above is correct

3 3 3 3 3 3 lambda, Arrival rate mu, Service rate n, Number of servers 1.2 1.2 1.2 1.2 1.2 1.2 1 2 3 4 5 6 0.83 0.63 0.50 0.42 0.04 0.07 0.08 0.08 3.51 0.53 0.03 Utilization PCO), probability{system is empty} Lg, expected queue length L, expected number in system Wq, expected time in queue W, expected total time in system Probability that a customer waits 0.13 2.63 6.01 3.03 2.53 0.18 0.04 1.17 2.00 0.01 0.84 1.01 0.88 0.70 0.32 0.13 0.05

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