Problem 4 In a known company, the demand for a product follows a normal distribution. Based on past data, you calculated a weekly average of 30 units with a standard deviation of 7 units. The supplier can deliver each unit and takes 5 weeks at a cost per unit of $25. The supplier lead time has a standard deviation of 1 week. Every time you place an order to the supplier will cost $45, and the inventory holding cost is $2.00 per unit per year. No stockouts are allowed because there is a cost of $2,000 /stockout. The company operates 45 weeks per year. What is the economic order quantity? а. b. What is the optimal reorder point and the safety stock at a service level of 95%?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Problem 4
In a known company, the demand for
a product follows a normal distribution. Based on past data,
you calculated a weekly average of 30 units with a standard
deviation of 7 units. The supplier can deliver each unit and
takes 5 weeks at a cost per unit of $25. The supplier lead
time has a standard deviation of 1 week. Every time you
place an order to the supplier will cost $45, and the inventory
holding cost is $2.00 per unit per year. No stockouts are
allowed because there is a cost of $2,000 Istockout. The
company operates 45 weeks per year.
What is the economic order quantity?
а.
b.
What is the optimal reorder point and the
safety stock at a service level of 95%?
Transcribed Image Text:Problem 4 In a known company, the demand for a product follows a normal distribution. Based on past data, you calculated a weekly average of 30 units with a standard deviation of 7 units. The supplier can deliver each unit and takes 5 weeks at a cost per unit of $25. The supplier lead time has a standard deviation of 1 week. Every time you place an order to the supplier will cost $45, and the inventory holding cost is $2.00 per unit per year. No stockouts are allowed because there is a cost of $2,000 Istockout. The company operates 45 weeks per year. What is the economic order quantity? а. b. What is the optimal reorder point and the safety stock at a service level of 95%?
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