The Laurel Creek Lawn Shop sells Fastgro Fertilizer. The annual demand for the fertilizer is 270,000 pounds. The cost to order the fertilizer from the Fastgro Company is $105 per order. The annual carrying cost is $0.25 per pound. The store operates with shortages, and the annual shortage cost is $0.70 per pound. Compute the optimal order size, minimum total annual inventory cost, and maximum shortage level.

Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter20: Inventory Management: Economic Order Quantity, Jit, And The Theory Of Constraints
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The Laurel Creek Lawn Shop sells Fastgro Fertilizer. The annual demand for the fertilizer is
270,000 pounds. The cost to order the fertilizer from the Fastgro Company is $105 per order.
The annual carrying cost is $0.25 per pound. The store operates with shortages, and the annual
shortage cost is $0.70 per pound. Compute the optimal order size, minimum total annual inventory
cost, and maximum shortage level.

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