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Economic Lot Size Model: determine optimal order quantity

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Consider the Economic Lot Size Model and let K be the set-up cost, h be the holding cost per item per unit of time and D the demand rate. Shortage is not allowed and the objective is to find an order quantity so as to minimize the long-run average cost. That is, the objective is to minimize...
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(See attached file for full problem description)

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The expert determines the optimal quantity for a lot size model.

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