Consider the following problem:

max$3x_1+5x_2$

$s.t.$

$x_{1}4$

$x_{2}12$

$3x_1+2x_{2}18$

$3x_1+6x_{2}36$

$x_{1}0,x_{2}0$

Show the feasible area. Either use online websites to draw the feasible area or

use a piece of paper. Attach your work. $(4$ Points$)$

Which constraint is a redundant constraint? $(2$ point$)$

Identify feasible cornor points and calculate the value of the objective

function for each of these points. $(5$ points$).$

$4$ Whirh noint is the notimal solution? $(2$ noint$)$