What is the average amount of time a person spends in line

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Reference no: EM131666688

1. Customers arrive at an average rate of 10 per hour and an average of 15 customers can be served in an hour. Assume this is an M/M/1 model.

What is the system utilization?

How many people are in line?

How many people are in the system?

What is the average amount of time a person spends in line?

What is the average amount of time a person spends in the system?

What is the probability of 4 customers in the system?

2. You’re working at a local hospital and have been given the task of planning to provide flu shots for the upcoming flu season. You anticipate very heavy demand because of the nature of this season’s flu. You anticipate that patients will arrive at the rate of 24 per hour and it will take 3 minutes to prep each patient, provide the vaccine and take care of the paperwork.

Your management wants people to wait in line for no more than one minute. How many nurses will you require to meet this requirement (round to nearest minute)?

If each nurse costs you $20 per hour and you’ve calculated the cost of a customer waiting to be $40, how much will the number of nurses arrived at in part a. cost the hospital?

Reference no: EM131666688

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