Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 2.5 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson). a.Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.) Number of customers b.Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % c.Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.) Amount of time hours d.Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.) Probability ________

The service rate µ = 1 / 2.5 calls per hour i.e. 0.4The arrival rate λ = 2.1 / 8 calls per hour i.e.…

Answered: Repair calls are handled by one…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 2.5 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson).

a.	Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.)

Number of customers

b.	Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.)

System utilization

c.	Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.)

Amount of time

hours

d.	Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Probability

________

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