$4-36.$ Generate the dual simplex iterations for the following problems $($using TORA for

convenience$),$ and trace the path of the algorithm on the graphical solution space.

$($a$)$

Minimize $z=2x_1+3x_2$

subject to

$2x_1+2x_{2}3$

$x_1+2x_{2}1$

$x_1,x_{2}0$