For the linear problem below:

Min $-x_1-2x_2$

$s.t.3x_1+2x_{2}12$

$,2x_1+3x_{2}6$

$,x_{1}0$

a$.$ Create the Simplex Tableau. You will need to put in standard form for an LP$.$ Slack variables will be required as well as a recognition that $x_2$ can be negative. Solve this problem $($with substitution for $x_2$ and slack variables$)$ using LP Simplex solver.

b$.$ For the problem as originally posed, use the Simplex solver.

c$.$ Did you get the same answer? Why or why not?

d$.$ Vary any parameters and explore impact. Briefly discuss.