You are the store manager at a large furniture store. One of your products is a study desk. Weekly demand for the desk is normally distributed with mean 40 and standard deviation 20. The lead time from the assembly plant to your store is two weeks and you order inventory replenishments weekly. You use the order-up-to model to control inventory. a. Suppose your order-up-to level is S = 220. You are about to place an order and note that your inventory level is 100 and you have 85 desks on order. How many desks will you order? b. Suppose your order-up-to level is S = 220. You are about to place an order and note that your inventory level is 160 and you have 65 desks on order. How many desks will you order? c. What is the optimal order-up-to level if you want to target a 98 percent in-stock probability?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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You are the store manager at a large furniture store. One of your products is a study desk. Weekly demand for the desk is normally distributed with mean 40 and standard deviation 20. The lead time from the assembly plant to your store is two weeks and you order inventory replenishments weekly. You use the order-up-to model to control inventory. a. Suppose your order-up-to level is S = 220. You are about to place an order and note that your inventory level is 100 and you have 85 desks on order. How many desks will you order? b. Suppose your order-up-to level is S = 220. You are about to place an order and note that your inventory level is 160 and you have 65 desks on order. How many desks will you order? c. What is the optimal order-up-to level if you want to target a 98 percent in-stock probability?

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