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 additive1must 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 leastoz of ingredient I4must 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 hasoz of ingredient II, and

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Description: 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 additive1must be at least 5 oz per gal of gasoline. However, for safety reasons,

We have to find out the amount of ingredients for minimum cost of the given mixtures.

Answered: e minimum cost mixture

Math

Advanced Math

e minimum cost mixture

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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