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Minimize z = 5x1+6x2+3x3 subject to 5x1+5x2+3x3 57 x1+x2-x3 22 7x1+6x2-9x3 37 5x1+5x2+5x3 37 2x1+4x2-15x317 12x1+10x2 92 x2-10x3 27 x1, x2, x30 . a) Write

Minimize z = 5x1+6x2+3x3

subject to

5x1+5x2+3x3 57

x1+x2-x3 22

7x1+6x2-9x3 37

5x1+5x2+5x3 37

2x1+4x2-15x317

12x1+10x2 92

x2-10x3 27

x1, x2, x30 .

a) Write the dual problem . b) Using either simplex or dual simplex solve the problem

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