I just want to know if it is possible to convert this LP model into a standard LP model: $\max Z = 2x_1+4x_2$
subject to
$-2x_1+3x_2<3$
$4x_1+5x_2>10$
$x_1 \leq 0$
$x_1<4$
$x_2$ unbounded
This is my first time seeing an LP model with strict inequalities and a negative constraint. I just always see the LP model with the usual inequalities and non-negative constraint and of course, I know how to convert those LP models into standard LP models
Replace $-2x_1+3x_2<3$ by $$ -2x_1+3x_2 \le 3-\varepsilon $$ where $\varepsilon$ is a "very small" constant. And likewise for the other constraints.