A local company produces a programmable EPROM (erasable programmable read-only memory) for several industrial clients. They have experienced a relatively flat demand of 2500 units per year for the product. The EPROM is produced at a rate of 10000 units per year. The accounting department has estimated that it costs $50 to initiate a production run, each unit costs the company $2 to manufacture, and the cost of holding is base on a 30% annual interest rate. Determine the optimal size of a production run, the length of each production run, and the average annual cost of holding and setup. What is the maximum level of on-hand inventory of the EPROMs?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 47P
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A local company produces a programmable EPROM (erasable programmable read-only
memory) for several industrial clients. They have experienced a relatively flat demand of 2500 units
per year for the product. The EPROM is produced at a rate of 10000 units per year. The accounting
department has estimated that it costs $50 to initiate a production run, each unit costs the company
$2 to manufacture, and the cost of holding is base on a 30% annual interest rate. Determine the
optimal size of a production run, the length of each production run, and the average annual cost of
holding and setup. What is the maximum level of on-hand inventory of the EPROMs?

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