The annual demand, ordering cost, and the annual inventory carrying cost rate for a certain item are 600 units, Quantity  1 to 49  50 to 249  250 and up  Price  $5.00/unit  $4.50/unit  $ 4.10/unit  $20/order and 30% of item price, respectively.   (a) Assume the discounts applied to all the units in the order, what should the order quantity be in order to minimize the average annual cost? Also, show the minimal average annual cost.      (b) Assume the discounts applied to the units are incremental, what should the order quantity be in order to minimize the average annual cost? Also, show the minimal average annual cost.

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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The annual demand, ordering cost, and the annual inventory carrying cost rate for a certain item are 600 units,

Quantity  1 to 49  50 to 249  250 and up 
Price  $5.00/unit  $4.50/unit  $ 4.10/unit 

$20/order and 30% of item price, respectively. 

 (a) Assume the discounts applied to all the units in the order, what should the order quantity be in order to minimize the average annual cost? Also, show the minimal average annual cost.   

  (b) Assume the discounts applied to the units are incremental, what should the order quantity be in order to minimize the average annual cost? Also, show the minimal average annual cost. 

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