An objective function and a system of linear inequalities representing constraints are given. Complete parts(a) through(c). Objective Function z=x+3y x =3 4x-y>=-3 a. Graph the

An objective function and a system of linear inequalities representing constraints are given. Complete parts(a) through(c).

Objective Function

z=x+3y

x<=4

y>=3

4x-y>=-3

a. Graph the system of inequalities representing the constraints.

Use the graphing tool to graph the system. Graph the region that represents the correct solution only once.

b. Find the value of the objective function at each corner of the graphed region.

The values of the objective function are

(Type integers or simplified fractions. Use a comma to separate answers asneeded.)

c. Use the values in part(b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

The maximum value of z is z=

The maximum occurs at