The call center of a small manufacturer receives calls randomly at an average rate of 9 customers per hour. The arriving calls are answered by a single agent randomly with an average service rate of 12 customers per hour. Answer the following questions assuming that the system can be modeled as an M/M/1 queue. average waiting time in queue (in minutes): minimum integer service rate (number of customers served per hour) such that the average waiting time in queue is less than 7 minutes:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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The call center of a small manufacturer receives calls randomly at an average rate of 9 customers per hour. The arriving calls are answered by a single agent randomly with an average service rate of 12 customers per hour. Answer the following questions assuming that the system can be modeled as an M/M/1 queue.

 

average waiting time in queue (in minutes): 

minimum integer service rate (number of customers served per hour)

such that the average waiting time in queue is less than 7 minutes: 

 

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