A department store sells 10,000 pairs of pants per year. The store orders pants from a regional warehouse. Each time an order is placed, an ordering cost of $45 is incurred. The store pays $50 for each pair of pants, and the cost of holding $1 worth of inventory for a year is estimated to be the annual capital opportunity cost of 200. The department store believes that orders can be backlogged at the cost of s = $15 per pair per year. Determine A. The optimal order quantity. B. The maximum inventory level that will occur. C. The maximum shortage that will occur.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A department store sells 10,000 pairs of pants per year. The store orders pants from a regional
warehouse. Each time an order is placed, an ordering cost of $45 is incurred. The store pays $50
for each pair of pants, and the cost of holding $1 worth of inventory for a year is estimated to be
the annual capital opportunity cost of 200. The department store believes that orders can be
backlogged at the cost of s = $15 per pair per year. Determine
A. The optimal order quantity.
B. The maximum inventory level that will occur.
C. The maximum shortage that will occur.
%3D
Transcribed Image Text:A department store sells 10,000 pairs of pants per year. The store orders pants from a regional warehouse. Each time an order is placed, an ordering cost of $45 is incurred. The store pays $50 for each pair of pants, and the cost of holding $1 worth of inventory for a year is estimated to be the annual capital opportunity cost of 200. The department store believes that orders can be backlogged at the cost of s = $15 per pair per year. Determine A. The optimal order quantity. B. The maximum inventory level that will occur. C. The maximum shortage that will occur. %3D
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