A manufacturing plant procures 100,000 filters per year.  Each unit has a fixed order cost is $50. To maintain the inventory in optimal conditions, there is a carrying cost rate of 10% per year. The vendor of filters has offered the following price breaks: for orders of more than 5,000 filters, cost is $4.50/unit; for orders between 1,000 and 5,000 filters, cost is $4.75/unit; orders less than 1,000 filters have a cost of $5.00/unit.    Find the economic order quantity. Calculate the average annual cost for the optimal solution.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A manufacturing plant procures 100,000 filters per year.  Each unit has a fixed order cost is $50. To maintain the inventory in optimal conditions, there is a carrying cost rate of 10% per year. The vendor of filters has offered the following price breaks: for orders of more than 5,000 filters, cost is $4.50/unit; for orders between 1,000 and 5,000 filters, cost is $4.75/unit; orders less than 1,000 filters have a cost of $5.00/unit. 

 

Find the economic order quantity.

Calculate the average annual cost for the optimal solution.

 

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