Question: 5. (6 points) An oil refinery blends four types (i = 1, 2, 3, 4) of raw gasoline: alkylate, catalytic- cracked, straight-run, and isopentane. The

5. (6 points) An oil refinery blends four types

5. (6 points) An oil refinery blends four types (i = 1, 2, 3, 4) of raw gasoline: alkylate, catalytic- cracked, straight-run, and isopentane. The sulfur concentration of each gasoline is given in the table. Suppose we blend xi barrels of each type i of gasoline (i = 1,2,3,4). i Sulphur concentration Alkylate 1 6 Catalytic-cracked 2 7 Straight-run 3 5 Isopentane 4 9 Write down the linear constraint to enforce that the sulphur concentration of the blend, which is the volume-fraction weighted sum of the constituents, does not exceed 6.3

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