Asked by Kiara Venegas on May 09, 2024

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In the basic economic order quantity model and in the production order quantity model, optimal behaviour occurs where annual setup costs equal annual holding costs. Is this a coincidence, or a fundamental element of these models? Answer in a well-constructed paragraph.

Economic Order Quantity Model

A mathematical model that determines the optimal order size that minimizes the total cost of holding and ordering inventory.

Production Order Quantity Model

A mathematical model used to determine the optimal order quantity that minimizes total inventory costs, considering both holding and setup costs.

Annual Setup Costs

The total expenses incurred from setting up machinery or equipment for production runs in a factory, accumulated on a yearly basis.

  • Utilize mathematical frameworks to address issues related to inventory, encompassing Economic Order Quantity and problems involving quantity discounts.
  • Determine the constituents and calculations associated with the costs of inventory, incorporating holding, configuration, and order expenses.
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Davion ParkerMay 12, 2024
Final Answer :
This equality is not a coincidence. It follows from the objective of both models, which is the minimization of total inventory costs for that product. In both of these models, total cost minimization occurs where the setup cost and holding cost elements intersect. The formulas for Q∗ and Q∗P follow from that point of equality.