A spice retailer has a lead time of 4 weeks from its supplier of a particular item and the retailer orders every week.  Average weekly demand is normally distributed with a mean of 40 units and standard deviation of 30 units.  a) If it uses an order-up-to level of 301 units, what is its expected ON-HAND inventory? b) If it uses an order-up-to level of 250 units, what is its expected ON-ORDER inventory?  c) If it uses an order-up-to-level of 368 units, what is its in-stock probability? d) For a .96 in-stock probability, what should its order=up-to level be?

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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A spice retailer has a lead time of 4 weeks from its supplier of a particular item and the retailer orders every week.  Average weekly demand is normally distributed with a mean of 40 units and standard deviation of 30 units. 

a) If it uses an order-up-to level of 301 units, what is its expected ON-HAND inventory?

b) If it uses an order-up-to level of 250 units, what is its expected ON-ORDER inventory? 

c) If it uses an order-up-to-level of 368 units, what is its in-stock probability?

d) For a .96 in-stock probability, what should its order=up-to level be?

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