Consider the objective function z = 4x + 3y subject to the following constraints:

x + y 1

x + 2y 4

2x + y 4

x 0

y 0

Find the feasible region and list the corner points.

Corner Points:

If there is more than one corner point, type the points separated by a comma.

Find the maximum and minimum values of z.

Maximum value of z is:___ When x = ___ and y =

Minimum value of z is:___ When x = ___ and y =