Suppose that the following system of inequalities represents the constraints in a linear programming application. Graph the feasible region on paper, thenanswer the questions that follow.9x-3y 27-3x+6y? 36x?0y?0List the corner points of the feasible region:Now, suppose that the following function is the objective function corresponding to the constraints listed above.z = -3x+8y.Test the corner points to find minimum value of the objective function:• The "winning" corner point is• The minimum value of the objective function is