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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

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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 must be at least 5 oz 1 gal of gasoline However for safety reasons the amount of additive should not exceed 11 oz per gal of gasoline At least oz of ingredient I must be used for every ounce of ingredient II and a 4 east 1 oz of ingredient III must be used for every ounce of ingredient I The costs of I II and III are 0 30 0 24 and 0 36 per oz respectively a Find the mixture of the three ingredients that produces the minimum cost of the additive The minimum cost mixture has oz of ingredient I oz of ingredient II and Type an integer or a decimal Round to three decimal places as needed oz of ingredient III

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