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11. A toolroom clerk at British Light Industries, Ltd. is serving a maintenance department with a large number of employees who earn 8 per hour.

11. A toolroom clerk at British Light Industries, Ltd. is serving a maintenance department with a large number of employees who earn 8 per hour. The clerk earns 5 per hour. The workers arrive at the toolroom at an average rate of 6.2 per hour. The average service time is 8 minutes.

a) What is the probability of finding no workers at the toolroom (either waiting or being served)?

b) What is the average waiting time (before being served) per worker?

c) What is the average number of workers waiting in que for tools?

d) What is the average number of workers waiting in the system?

e) If the management currently is considering two options: hiring one more clerk or two more clerk for the tool-room , assume the same labor cost and capacity, what would be your recommendation? Why?

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