A manufacturer of exercise equipment purchases the pulley section of the equipment from a supplier who lists these prices: Less than 1000 $5.00 each 1000 to 3999 $4.95 each 4000 to 5999 $4.90 each 6000 or more $4.85 each Ordering costs are $50, annual carrying costs per unit are 40 percent of purchase cost, and annual usage is 4900 pulleys. Determine the order quantity that will minimize total cost.

A manufacturer of exercise equipment purchases the pulley section of the equipment from a supplier who lists these prices: Less than 1000 $5.00 each 1000 to 3999 $4.95 each 4000 to 5999 $4.90 each 6000 or more $4.85 each Ordering costs are $50, annual carrying costs per unit are 40 percent of purchase cost, and annual usage is 4900 pulleys. Determine the order quantity that will minimize total cost.

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Description: A manufacturer of exercise equipment purchases the pulley section of the equipment from a supplier who lists these prices: Less than 1000 $5.00 each1000 to 3999 $4.95 each 4000 to 5999 $4.90 eac

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter3: Introduction To Optimization Modeling

Section3.8: A Multiperiod Production Model

Problem 22P

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A manufacturer of exercise equipment purchases the pulley section of the equipment from a supplier who lists these prices: less than 1,000, $5 each; 1,000 to 3,999, $4.95 each; 4,000 to 5,999,$4.90 each; and 6,000 or more, $4.85 each. Ordering costs are $50, annual carrying costs per unitare 40 percent of purchase cost, and annual usage is 4,900 pulleys. Determine an order quantitythat will minimize total cost.
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