min,$6x_1+3x_2$

subject $to{x}_1+x_{2}1$

$,2x_1-x_{2}1$

$,3x_{2}2$

$,0x_1,x_2$

min,$4x_1+5x_2$

subject $to2x_1+3x_{2}6$

$,3x_1+x_{2}3$

$,0x_1,x_2$

max,$-x_1+x_2$

subject $to{x}_1+x_{2}1$

$,3x_1+2x_2=6$

$,0x_1,x_2$

Solve using two$-$phase simplex method. Pen and pencil approach not matlab or python scripts. Thank you