Suppose that your firm manufactures rubber chickens. Monthly demand for the chickens is 32,000 units. Setup costs per order is $85, and the annual holding cost percentage is 17%. The chickens cost $8 to produce and are sold for $18.    a. if you have a warehouse, what is the economic order quantity for the chickens? what is the total of the annual setup and holding cost of this quantity? b. suppose that you have 25 warehouses instead  of one, and total demand is equally distributed among the warehouses. If setup and holding costs are the same in the smaller warehouses as they would be for a single large warehousem what is the EOQ for the chickens at each of the 25 warehouses? what is the total of the annual setup and holding costs at each warehouse? what is the total of the company's annual setup and holding costs? c. using centralized warehousing as in part a implies that products must be shipped over longer distances. suppose that shipping costs are $0.80 per unit when using one warehouse and $0.64 per unit when using 25 warehouses. which option should the company choose, considering all relevant costs? d. based on your answers to a, and b, if total company demand is D what is the general formula for the total company EOQ cost of using N warehouses instead of one (if the demand is spread evenly over those warehouses)?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Suppose that your firm manufactures rubber chickens. Monthly demand for the chickens is 32,000 units. Setup costs per order is $85, and the annual holding cost percentage is 17%. The chickens cost $8 to produce and are sold for $18. 

 

a. if you have a warehouse, what is the economic order quantity for the chickens? what is the total of the annual setup and holding cost of this quantity?

b. suppose that you have 25 warehouses instead  of one, and total demand is equally distributed among the warehouses. If setup and holding costs are the same in the smaller warehouses as they would be for a single large warehousem what is the EOQ for the chickens at each of the 25 warehouses? what is the total of the annual setup and holding costs at each warehouse? what is the total of the company's annual setup and holding costs?

c. using centralized warehousing as in part a implies that products must be shipped over longer distances. suppose that shipping costs are $0.80 per unit when using one warehouse and $0.64 per unit when using 25 warehouses. which option should the company choose, considering all relevant costs?

d. based on your answers to a, and b, if total company demand is D what is the general formula for the total company EOQ cost of using N warehouses instead of one (if the demand is spread evenly over those warehouses)?

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