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Write out the corresponding dual problem of the primal problem.

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in Linear Programming by (20 points)

Write out the corresponding dual problem of the primal problem. 

Maximize Z = 3x1 - 4x2 + 7x3

Subject to

2x1+6x2<=10

x1+3x2+8x3<=18

3x1-4x3<=5

x2-2x3<=9

and x1,x2,x3 >= 0.

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