Consider the following MOLP:

max$4x_1+2x_2$

$min{x}_1+3x_2$

$s.t.2x_1+x_{2}18$

$x_1+4x_{2}12$

$x_1+x_{2}4$

$x_1,x_{2}0$

a$.$ Graph the feasible region for the problem.

b$.$ Claculate the value of each objective at each extreme point.

c$.$ What feasible points in this problem are Pareto optimal?