The Pedal Pusher Bicycle Shop operates 7 days per week, closing only on Christmas Day. The shop pays $300 for a particular bicycle purchased from the manufacturer. The annual holding cost per bicycle is estimated to be 25% of the dollar value of inventory. The shop sells an average of 25 bikes per week. Frequently, the dealer does not have a bike in stock when a customer purchases it, and the bike is back-ordered. The dealer estimates his shortage cost per unit backordered, on an annual basis, to be $250 due to lost future sales (and profits). The ordering cost for each order is $100. Determine the optimal order quantity and shortage level and the total minimum cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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The Pedal Pusher Bicycle Shop operates 7 days per week, closing only on Christmas Day. The
shop pays $300 for a particular bicycle purchased from the manufacturer. The annual holding
cost per bicycle is estimated to be 25% of the dollar value of inventory. The shop sells an average
of 25 bikes per week. Frequently, the dealer does not have a bike in stock when a customer
purchases it, and the bike is back-ordered. The dealer estimates his shortage cost per unit backordered,
on an annual basis, to be $250 due to lost future sales (and profits). The ordering cost
for each order is $100. Determine the optimal order quantity and shortage level and the total
minimum cost.

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