Acompany uses 2,000 units of a product each year (constant usage). The product is purchased from a supplier at a unit cost of $4; however, the company must pay the freight from the splir's plant, Each unit weighs 5 pounds; the shpping cost is 20 cents per pound. The company estimates the ordrprocessg cost is $25 per order; inventory holding costs are 20 percent per dollar per year. 1. Find the optimal order quantity,

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Acompany uses 2,000 units of a product each year
(constant usage). The product is purchased from a
supplier at a unit cost of $4; however, the company
must pay the freight from the splir's plant, Each unit
weighs 5 pounds; the shpping cost is 20 cents per
pound. The company estimates the ordrprocessg
cost is $25 per order; inventory holding costs are 20
percent per dollar per year.
1. Find the optimal order quantity,
2. Suppose that for shipments above 300 pounds
but less than 10,000 pounds, a flat charge of $50
per shipment (not per pound) is charged, while for
shipments below 300 pounds that rate remains at
20 cents per pound. Now, what order quantity
should be used to minimize the sum of all relevant
variable costs?
Transcribed Image Text:Acompany uses 2,000 units of a product each year (constant usage). The product is purchased from a supplier at a unit cost of $4; however, the company must pay the freight from the splir's plant, Each unit weighs 5 pounds; the shpping cost is 20 cents per pound. The company estimates the ordrprocessg cost is $25 per order; inventory holding costs are 20 percent per dollar per year. 1. Find the optimal order quantity, 2. Suppose that for shipments above 300 pounds but less than 10,000 pounds, a flat charge of $50 per shipment (not per pound) is charged, while for shipments below 300 pounds that rate remains at 20 cents per pound. Now, what order quantity should be used to minimize the sum of all relevant variable costs?
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