Please do not give solution in image format thanku A regional cellphone sales manager is deciding how many people to hire for a sales office. Data shows sales associates take 20 minutes per customer. The service time follows an exponential distribution. The arrival rate is expected to be 6 people per hour and will follow a Poisson distribution. This particular branch is scheduled to have 4 sales associates.   What is the average time people will wait in line in minutes before being seen by a sales associate? Calculate your answer to three decimal places.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Please do not give solution in image format thanku

A regional cellphone sales manager is deciding how many people to hire for a sales office. Data shows sales associates take 20 minutes per customer. The service time follows an exponential distribution. The arrival rate is expected to be 6 people per hour and will follow a Poisson distribution. This particular branch is scheduled to have 4 sales associates.

 

What is the average time people will wait in line in minutes before being seen by a sales associate? Calculate your answer to three decimal places.

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