Thomas Kratzer is the purchasing manager forthe headquarters of a large insurance company chain witha central inventory operation. Thomas’s fastest-movinginventory item has a demand of 6,000 units per year. The costof each unit is $100, and the inventory carrying cost is $10 perunit per year. The average ordering cost is $30 per order. Ittakes about 5 days for an order to arrive, and the demand for1 week is 120 units. (This is a corporate operation, and thereare 250 working days per year.)a) What is the EOQ?b) What is the average inventory if the EOQ is used?c) What is the optimal number of orders per year?d) What is the optimal number of days in between any twoorders?e) What is the annual cost of ordering and holding inventory?f) What is the total annual inventory cost, including the costof the 6,000 units?

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Chapter16: Lean Supply Chain Management
Section: Chapter Questions
Problem 10DQ: The chapter presented various approaches for the control of inventory investment. Discuss three...
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Thomas Kratzer is the purchasing manager for
the headquarters of a large insurance company chain with
a central inventory operation. Thomas’s fastest-moving
inventory item has a demand of 6,000 units per year. The cost
of each unit is $100, and the inventory carrying cost is $10 per
unit per year. The average ordering cost is $30 per order. It
takes about 5 days for an order to arrive, and the demand for
1 week is 120 units. (This is a corporate operation, and there
are 250 working days per year.)
a) What is the EOQ?
b) What is the average inventory if the EOQ is used?
c) What is the optimal number of orders per year?
d) What is the optimal number of days in between any two
orders?
e) What is the annual cost of ordering and holding inventory?
f) What is the total annual inventory cost, including the cost
of the 6,000 units?

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