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Write the dual to the following problem.
Min
12x1 + 15x2 + 20x3 + 18x4
s.t.
x1 + x2 + x3 + x4 50
3x1 + 4x3 60
2x2 + x3 - 2x4 10
x1, x2, x3, x4 0
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