Question: Consider the following linear programming problem: min x1 - 2x2 s.t. x1 + x2 2 -x1+ x2 1 x2 3 x1, x2 0 Convert the

Consider the following linear programming problem:

min x1 - 2x2

s.t. x1 + x2 2

-x1+ x2 1

x2 3

x1, x2 0

Convert the problem into standard form.

Solve the problem using the two-phase simplex method. Show that the points generated by phase 1 correspond to basic solutions (but not necessarily basic feasible solutions) of the original system.

Solve the problem using the big-M method.

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