I have a pretty straightforward linear programming problem here:
$$ maximize \hskip 5mm -x_1 + 2x_2 -3x_3 $$
$$ 5x_1 - 6x_2 - 2x_3 \leq 2 $$ $$ 5x_1 - 2x_3 = 6 $$ $$ x_1 - 3x_2 + 5x_3 \geq -3 $$ $$ 1 \leq x_1 \leq 4 $$ $$ x_3 \leq 3 $$
Convert to standard form.
what boggles me is how to substitute $x_1$ since it’s restricted from both sides and I can’t move forward in the problem until I figure it out...
I’m not asking for the whole standard form, just how to approach this one variable. :)