This type of problem can be recognized when an order interval is given (e.g.,inventory is ordered every 10 days) along with the demand rate, lead time, and quantity on hand atorder time. A lab orders a number of chemicals from the same supplier every 30 days. Lead time is five days.The assistant manager of the lab must determine how much of one of these chemicals to order. Acheck of stock revealed that eleven 25-milliliter (ml) jars are on hand. Daily usage of the chemical isapproximately normal with a mean of 15.2 ml per day and a standard deviation of 1.6 ml per day. Thedesired service level for this chemical is 95 percent.a. How many jars of the chemical should be ordered?b. What is the average amount of safety stock of the chemical?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section2.5: Ordering With Quantity Discounts And Demand Uncertainty
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This type of problem can be recognized when an order interval is given (e.g.,
inventory is ordered every 10 days) along with the demand rate, lead time, and quantity on hand at
order time. 
A lab orders a number of chemicals from the same supplier every 30 days. Lead time is five days.
The assistant manager of the lab must determine how much of one of these chemicals to order. A
check of stock revealed that eleven 25-milliliter (ml) jars are on hand. Daily usage of the chemical is
approximately normal with a mean of 15.2 ml per day and a standard deviation of 1.6 ml per day. The
desired service level for this chemical is 95 percent.
a. How many jars of the chemical should be ordered?
b. What is the average amount of safety stock of the chemical?

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