II) Assume that the inter-arrival time is Poisson process distributed with a mean of 10 per hour and the service time has the exponential distribution with one customer every 5 minutes, and the system operates 8 hours a day. Assume you have M/M/1 queuing model, find

(a) The utilization of the system.

(b) The expected number in the queue.

(c) The average waits in the queue.

(d) The average waits in the system.

(e) The number in the system.

(f) The average cost per day from waiting if you assume the cost is JD10 for each hour lost by a customer waiting.