Consider the following LP problem:

max,

x

$1$

$-$

x

$2$

$+$

x

$3$

$+$

$3$

$$

s

$.$

t

$.$

x

$1$

$-$

x

$2$

$+$

$4$

x

$3$

$<=$

$0$

$,$

x

$1$

$-$

x

$2$

$=$

$-$

$1$

$,$

x

$1$

$+$

x

$3$

$>=$

$-$

$2$

$$free$,$

x

$2$

$>=$

$4$

$,$

x

$3$

$>=$

$0$

$.$

find a basic feasible solution of the lp problem obtained in a