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quiz-20120201.sol

# quiz-20120201.sol - x AP = the total amount of processed...

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Industrial Engineering 335 Spring 2012 Operations Research-Optimization Lecturer: Nelson Uhan Grader: Jikai Zou February 1, 2012 Quiz - 20120201 Solutions Problem: Studio 1 Solution: We take 1000 barrels as a unit, then we define decision variables as follows: y = the total amount of crude oil purchased , x A = the total amount of unprocessed aviation oil produced , x H = the total amount of unprocessed heating oil produced
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Unformatted text preview: , x AP = the total amount of processed aviation oil produced , x HP = the total amount of processed heating oil produced . The following linear program models the problem: max 60 x A + 40 x H + 130 x AP + 90 x HP-40 y s.t. y ≤ 20 , x AP + 0 . 75 x HP ≤ 8 , x A + x AP = 0 . 5 y, x H + x HP = 0 . 5 y, x A ,x H ,x AP ,x HP ,y ≥ . 1...
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