Answered: Before completing production, a product…

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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Question

Before completing production, a product must pass
through three stages of production. On the average, a newproduct begins at stage 1 every 6 minutes. The average time
it takes to process the product at each stage is as follows:
stage 1, 3 minutes; stage 2, 2 minutes; stage 3, 1 minute.
After finishing at stage 3, the product is inspected (assume
this takes no time). Ten percent of the final products are
found to have a defective part and must return to stage 1 and
go through the entire system again. After completing stage
3, 20% of the final products are found to be defective. They
must return to stage 2 and pass through 2 and 3 again. On
the average, how many jobs are in the system? Assume that
all interarrival times and service times are exponential and
that each stage consists of a single server.

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