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Find all quality characteristics blend linearly by quantity

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Question: Table describes components in a petroleum refinery that can be used to blend gasoline.

The purpose is to blend two types of gasoline, Regular and Premium, so as to minimize the overall costs required to satisfy the demand. The Regular brand consists of Naphta, Hydrocrackate, and Reformate, while Premium consists of Naphta, Hydrocrackate, and Alkylate. The total contracted demand for gasoline is 80,000 barrels.

• Regular: The octane number must be at least 87 and the vapor pressure cannot exceed 7.2.

• Premium: The octane number must be at least 91 and the vapor pressure cannot exceed 6.8.

Assume that there are no losses in the blending process and that all quality characteristics blend linearly by quantity.

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Reference no: EM131457453

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