Given following LP problem:

minz$=3x_1+x_2$

$s.t.$

$3x_1+2x_{2}18$

$4x_1+3x_{2}12$

$x_1+x_{2}12$

$x_1,x_{2}0$

$($a$)$ Draw the feasible region.

$($b$)$ Identify all corner points $($for those not obvious ones, show work on how you get them$).$

$($c$)$ Use the corner point method to determine the optimal solution.Given following LP problem:

minz$=3x_1+x_2$

$s.t.$

$3x_1+2x_{2}18$

$4x_1+3x_{2}12$

$x_1+x_{2}12$

$x_1,x_{2}0$

$($a$)$ Draw the feasible region.

$($b$)$ Identify all corner points $($for those not obvious ones, show work on how you get them$).$

$($c$)$ Use the corner point method to determine the optimal

Given following LP problem:

minz$=3x_1+x_2$

$s.t.$

$3x_1+2x_{2}18$

$4x_1+3x_{2}12$

$x_1+x_{2}12$

$x_1,x_{2}0$

$($a$)$ Draw the feasible region.

$($b$)$ Identify all corner points $($for those not obvious ones, show work on how you get them$).$

$($c$)$ Use the corner point method to determine the optimal solution.

Solve all parts with graph and everything