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Problem:

Using the Big M method and keeping the constraints minimized how would I solve this:

Minimize:

$-2x_1+2x_2+x_3+x_4$

Subject to:

$$ \begin{align} x_1+2x_2+2x_3+x_4 \leq 2\\ x_1-2x_2+x_3+2x_4\geq3\\ 2x_1-x_2+3x_3\geq2\\ x_1,x_2,x_3,x_4 \geq 0\\ \end{align}$$

I need help solving it though the Big M method. I keep getting stuck and need to figure out if my pivots are working instead of cycling.

Thanks in advance.

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