A soap manufacturer makes several different detergents using same equipment for all of them. It costs $ 1000 to clean the equipment and to prepare it for a run of a given detergent. A particular detergent has a demand rate of 100 tons per month. This can be considered to be deterministic. The variable production cost of one ton is $200. The firm uses an inventory carrying charge of 1 = 0.17. What is the optimal quantity to produce per run if no stockouts are to be allowed? What is the time between runs?

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 soap manufacturer makes several different detergents using same equipment for all of them. It costs $
1000 to clean the equipment and to prepare it for a run of a given detergent. A particular detergent has a
demand rate of 100 tons per month. This can be considered to be deterministic. The variable production cost
of one ton is $200. The firm uses an inventory carrying charge of 1 = 0.17. What is the optimal quantity to
produce per run if no stockouts are to be allowed? What is the time between runs?
Transcribed Image Text:A soap manufacturer makes several different detergents using same equipment for all of them. It costs $ 1000 to clean the equipment and to prepare it for a run of a given detergent. A particular detergent has a demand rate of 100 tons per month. This can be considered to be deterministic. The variable production cost of one ton is $200. The firm uses an inventory carrying charge of 1 = 0.17. What is the optimal quantity to produce per run if no stockouts are to be allowed? What is the time between runs?
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