Explain what is the utilization of the machine, Operation Management

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Suppose jobs arrive at a single? Machine workstation at a rate of 20 per hour and the average process time is 2.5 minutes.

a. What is the utilization of the machine?

b. Suppose the inter arrival and process times are exponential, what is the average time a job spends at the station (waiting plus process time)?

What is the average number of jobs at the station?

c. Suppose the inter arrival times are exponential, however, the process times are not exponential and instead have a mean of 2.5 minutes and a standard deviation of 5 minutes. What is the average time a job spends at the station (i.e., waiting plus process time)? What is the average number of jobs at the station?


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