Thomas Kratzer is the purchasing manager for theheadquarters of a large insurance company chain with a centralinventory operation. Thomas’s fastest-moving inventory item hasa 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 aver-age 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 acorporate 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 ofthe 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 aver-
age 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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