Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 6 haircuts per hour. a) The average number of customers waiting for haircuts = ? enter your response here customers (round your response to two decimal places). b) The average number of customers in the shop = ? customers (round your response to two decimal places). c) The average time a customer waits until it is his or her turn = ? enter your response here minutes (round your response to two decimal places)
Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 6 haircuts per hour. a) The average number of customers waiting for haircuts = ? enter your response here customers (round your response to two decimal places). b) The average number of customers in the shop = ? customers (round your response to two decimal places). c) The average time a customer waits until it is his or her turn = ? enter your response here minutes (round your response to two decimal places)
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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Customers arrive at Rich Dunn's Styling Shop at a rate of 2 per hour, distributed in a Poisson fashion. Service times follow a negative exponential distribution, and Rich can perform an average of 6 haircuts per hour.
a) The average number of customers waiting for haircuts = ?
enter your response here
customers (round your response to two decimal places).b) The average number of customers in the shop = ?
customers (round your response to two decimal places).
customers (round your response to two decimal places).
c) The average time a customer waits until it is his or her turn = ?
enter your response here
minutes (round your response to two decimal places).Expert Solution
Step 1 Introduction:
Here, given the data stated below,
The arrival rate is 2 per hour and the service rate is 6 per hour,
I would determine the answers for each question using the formulas, the detailed calculations are shown below,
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Follow-up Question
d) The average time a customer spends in the shop = ?
enter your response here
minutes (round your response to two decimal places).
Solution
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