A chemical firm produces sodium bisulfatein 100-pound bags. Demand for this product is 20 tons per day. The capacity for producing the product is 50 tons per day. Setup costs $100, and storage and handling costs are $5 per ton a year. The firm operates200 days a year. (Note: 1 ton = 2,000 pounds.)a)How many bags per run are optimal?b)What would the average inventory be for this lot size?c)Determine the approximate length of a production run, in days.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A chemical firm produces sodium bisulfatein 100-pound bags. Demand for this product is 20 tons per day. The capacity for producing the product is 50 tons per day. Setup costs $100, and storage and handling costs are $5 per ton a year. The firm operates200 days a year. (Note: 1 ton = 2,000 pounds.)a)How many bags per run are optimal?b)What would the average inventory be for this lot size?c)Determine the approximate length of a production run, in days.d)About how many runs per year would there be?e)How much could the company save annually if the setup cost could be reduced to $25 per run?

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