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ive typed explanation not a single word hand written otherwise leave it  Students arrive at the Administrative Services Office at an average of one every 14 minutes, and their requests take, on average, 8 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.   a. What is the utilization rate?   b. The average number of students in line.   c. The average time of waiting in line.

ive typed explanation not a single word hand written otherwise leave it  Students arrive at the Administrative Services Office at an average of one every 14 minutes, and their requests take, on average, 8 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.   a. What is the utilization rate?   b. The average number of students in line.   c. The average time of waiting in line.

Practical Management Science
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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Give typed explanation not a single word hand written otherwise leave it 

Students arrive at the Administrative Services Office at an average of one every 14 minutes, and their requests take, on average, 8 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times.

 

a. What is the utilization rate?

 

b. The average number of students in line.

 

c. The average time of waiting in line.

 

Show work please

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