Q$2)$ Construct an LPP by choosing suitable $c,A($a $57$ matrix$)$ and $b$

such that it looks like

Maximize $Z=c^{T}x$

subject to

$Ax=b$

$b0,x0$

with the conditions that A should have rank $3$ and none of the existing

variables are slack variables. What do you observe when $M$ method and

Two Phase methods are used in such a case.