Maxz$=2x_1+x_2$

$s*t,$

$3x_1-2x_{2}6$

$x_1-2x_{2}1$

Maxz$=2x_1+x_2$

$s*t,$

$3x_1-2x_{2}6$

$x_1-2x_{2}61$

$x_1,x_{2}0.$

$($a$)$ Solve through simplex method.

$($b$)$ Convert the given LPP to dual.

$($c$)$ Solve the dual IPP through Big$-$M Method.

d$)$ Verify both simplex and big$-$m solutions.

$x_1,x_{2}0.$

$($a$)$ Solve through simplex method

$($b$)$ Convert the given LPP to dual.

$($c$)$ Solve the dual IPP through Big$-$M Method.

d$)$ Verify both simplex and big$-$m solutions.