Consider the following linear program (LP): minimize -2x1 + x2 subject to + x2 X3 = 3 X1 + x2 + X4 6. %3D X1, X2, X3, x4 > 0 (a) Write the initial simplex tableau for the artificial LP (ALP) associated with this LP. (b) Solve the ALP. Show the optimal tableau and report the optimal solution and objective value. (c) Indicate the parts of the tableau from part 5b that you would use to start phase 2 of the simplex method.

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