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e minimum cost mixture

e minimum cost mixture

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section: Chapter Questions
Problem 31CLR
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A company is developing a new additive for gasoline. The additive is a mixture of three liquid ingredients, I, II, and III. For proper performance, the total amount of additive 1 must be at least 5 oz per gal of gasoline. However, for safety reasons, the amount of additive should not exceed 16 oz per gal of gasoline. At least oz of ingredient I 4 must be used for every ounce of ingredient II, and at least 1 oz of ingredient III must be used for every ounce of ingredient I. The costs of I, II, and IIlI are $0.30, $0.18, and $0.48 per oz, respectively. (a) Find the mixture of the three ingredients that produces the minimum cost of the additive. oz of ingredient III. oz of ingredient I, (Type an integer or a decimal. Round to three decimal places as needed.) The minimum cost mixture has oz of ingredient II, and
Transcribed Image Text:A company is developing a new additive for gasoline. The additive is a mixture of three liquid ingredients, I, II, and III. For proper performance, the total amount of additive 1 must be at least 5 oz per gal of gasoline. However, for safety reasons, the amount of additive should not exceed 16 oz per gal of gasoline. At least oz of ingredient I 4 must be used for every ounce of ingredient II, and at least 1 oz of ingredient III must be used for every ounce of ingredient I. The costs of I, II, and IIlI are $0.30, $0.18, and $0.48 per oz, respectively. (a) Find the mixture of the three ingredients that produces the minimum cost of the additive. oz of ingredient III. oz of ingredient I, (Type an integer or a decimal. Round to three decimal places as needed.) The minimum cost mixture has oz of ingredient II, and
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