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optimal order quantity

Kelvin Shoe Stores carries a basic black dress shoe for men that sells at a rate of 500 each quarter. Their current policy is to order 500 per quarter, with a fixed cost of $30/order. The annual holding cost is 20% of the cost of items held. The following cost structure is applicable:

Order Quantity

Price/pair

0-125

$35

126-225

34

226-350

33

351+

32

For a price of $35, the optimal order quantity (ignoring the price breaks) is ___________. (4)

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