use the simplex method to solve the following lp problem.
max z = 107x1 + x2 + 2x3
subject to 14x1 + x2 - 6x3 + 3x4 = 7
16x1 + x2 - 6x3 < = 5
3x1 - x2 - x3 < = 0
x1,x2,x3,x4 > = 0

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