Given the following linear programming problem instance.

Maximize $3x+2y$

$x+y$

$-2x+y2$

$x0,y0$

i$.$ Show the feasible region defined by the above instance, geometrically, if exists.

ii$.$ What are the extreme points defined by the above instance?

iii. What is the optimal solution of the problem $?$ Show your computations by considering the

extreme points.

For $(0,0)3\mathrm{.}0+2\mathrm{.}0=0$

For $(0,2)3\mathrm{.}0+2-2=4$

For $(8,0)3\mathrm{.}8+2\mathrm{.}0=24is$ the waxiunm

For $(2,6)3\mathrm{.}2+2\mathrm{.}6=18$ optimel solution

$is(8,0)$