6. A chemical firm produces sodium bisulfate in 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 operates 200 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?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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6. A chemical firm produces sodium bisulfate in 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 operates 200 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?
Transcribed Image Text:6. A chemical firm produces sodium bisulfate in 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 operates 200 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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