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e minimum cost mixture

e minimum cost mixture

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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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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