Consider the linear programming problem:

minimize x1-x2

subject to 2x1 + 3x2 - x3 + x4 <= 0

3x1 + x2 + 4x3 - 2x4 >= 3

-x1 - x2 + 2x3 + x4 = 6

x1 <= 0

x2,x3 >= 0

write down the corresponding dual problem.

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