Question: Question 2 (1 mark): In an M/M/1 system, workers arrive at a tool crib at a rate of 30 per hour. The total time that

Question 2 (1 mark): In an M/M/1 system, workers arrive at a tool crib at a rate of 30 per hour. The total time that workers spend when picking up the required tool is considered wasted. Workers are paid $8 per hour. The clerk at the tool crib can serve up to twelve workers per hour and is paid $12 per hour.

(a) What is the cost-minimal number of clerks? Show all work. (

b) What is the expected time a worker will have to wait for the tool in case the cost-minimal number of clerks is employed? (c) What would you expect to happen if the hourly wage of a worker now costs $15 per hour? Explain in one sentence. Calculations are not required.

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