(M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called Data Wish. Each data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each data unit for service and an exponential distribution to the actual service provided, answer the following questions: c. If we assign a cost of waiting as S$400 per week per data unit and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the machines? d. If DataWish decides to hire another individual to help Leia, what would the new total time cost per week dollars be? dollars

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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(M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called Data Wish. Each
data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can
start up again. If we assign the Poisson distribution to the "arrival" of each data unit for service and an exponential
distribution to the actual service provided, answer the following questions:
c. If we assign a cost of waiting as S$400 per week per data unit and $800 per week of hiring Leia, what is the
Total Time Cost per week cost of servicing the machines?
d. If DataWish decides to hire another individual to help Leia, what would the new total time cost per week
dollars
be?
dollars
Transcribed Image Text:(M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called Data Wish. Each data unit runs on an average for 3 weeks and requires an average of ½ or 0.5 weeks to get reset by Leia before it can start up again. If we assign the Poisson distribution to the "arrival" of each data unit for service and an exponential distribution to the actual service provided, answer the following questions: c. If we assign a cost of waiting as S$400 per week per data unit and $800 per week of hiring Leia, what is the Total Time Cost per week cost of servicing the machines? d. If DataWish decides to hire another individual to help Leia, what would the new total time cost per week dollars be? dollars
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