QUESTION $2$: $(15$ Marks$).$

Solve this linear problem using the Big M method.

Maximize $Z=2x1+5x2+3x3$

subject $to$

$x1+2x2-x37$

$-x1+x2-2x3-5$

$x1+4x2+3x31$

$2x1-x2+4x3=6$

with $x1,x2,x30$