A Mercedes dealer must pay $20,000 for each carpurchased. The annual holding cost is estimated to be 25%of the dollar value of inventory. The dealer sells an averageof 500 cars per year. He believes that demand is backloggedbut estimates that if he is short one car for one year he willlose $20,000 worth of future profits. Each time the dealerplaces an order for cars, ordering cost amounts to $10,000.Determine the Mercedes dealer’s optimal ordering policy.What is the maximum shortage that will occur?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.4: Simulation With Built-in Excel Tools
Problem 14P
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A Mercedes dealer must pay $20,000 for each car
purchased. The annual holding cost is estimated to be 25%
of the dollar value of inventory. The dealer sells an average
of 500 cars per year. He believes that demand is backlogged
but estimates that if he is short one car for one year he will
lose $20,000 worth of future profits. Each time the dealer
places an order for cars, ordering cost amounts to $10,000.
Determine the Mercedes dealer’s optimal ordering policy.
What is the maximum shortage that will occur?

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