Question: 1 If a M/M/1 model is compared with a M/M/3 model, when arrival rate is 5 customers per hour and service rate is 6 customers per hour, at what server cost the total expected cost of the two models will be equal? Consider the customer waiting time is $5 per hour.

Question 1A:

A waiting line meeting the assumptions of M/M/1 has average time between arrivals of 15 minutes and service items in an average of 10 minutes each; the utilization factor is approximately:

A. 0.25

B. 0.67

C. 1.5

D. 0.33