A retailer has two stores selling the same product. Weekly demand at store 1 is normally distributed with a mean of 100 and a standard deviation of 10, while weekly demand at store 2 is normally distributed with a mean of 150 and a standard deviation of 25. Demand at the two stores is independent. The retailer orders from a supplier with a 1 week lead time using a periodic review policy with a review period of 1 week, and targets a 95% service level. If the retailer wants to centralize inventory across the two stores, i.e., hold just one stock of inventory to serve demand from both stores, what should the order-up-to level be? PLEASE SHOW CALCULATION

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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A retailer has two stores selling the same product. Weekly demand at store 1 is normally distributed with a mean of 100 and a standard deviation of 10, while weekly demand at store 2 is normally distributed with a mean of 150 and a standard deviation of 25. Demand at the two stores is independent. The retailer orders from a supplier with a 1 week lead time using a periodic review policy with a review period of 1 week, and targets a 95% service level. If the retailer wants to centralize inventory across the two stores, i.e., hold just one stock of inventory to serve demand from both stores, what should the order-up-to level be? PLEASE SHOW CALCULATION

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