A car dealer must pay $20,000 for each car purchased.The annual holding cost is estimated to be 25% of thedollar value of inventory. The dealer sells an averageof 500 cars per year. He is willing to backlog somedemand but estimates that if he is short one car for oneyear, he will lose $20,000 worth of future profits. Eachtime the dealer places an order for cars, the orderingcost is $10,000. Determine the dealer’s optimal ordering policy. What is the maximum shortage that willoccur? Assume it costs $5000 to store a car for a year(this is in addition to the holding cost above).
A car dealer must pay $20,000 for each car purchased.The annual holding cost is estimated to be 25% of thedollar value of inventory. The dealer sells an averageof 500 cars per year. He is willing to backlog somedemand but estimates that if he is short one car for oneyear, he will lose $20,000 worth of future profits. Eachtime the dealer places an order for cars, the orderingcost is $10,000. Determine the dealer’s optimal ordering policy. What is the maximum shortage that willoccur? Assume it costs $5000 to store a car for a year(this is in addition to the holding cost above).
Financial Accounting Intro Concepts Meth/Uses
14th Edition
ISBN:9781285595047
Author:Weil
Publisher:Weil
ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications
Section: Chapter Questions
Problem 30P
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Question
A car 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 is willing to backlog some
demand 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, the ordering
cost is $10,000. Determine the dealer’s optimal ordering policy. What is the maximum shortage that will
occur? Assume it costs $5000 to store a car for a year
(this is in addition to the holding cost above).
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