9514 1404 393
Answer:
(0,0)
(0,3)
(3,2)
(4,0)
Step-by-step explanation:
The feasible region is the doubly-shaded area in the lower left corner of the first quadrant. It is a quadrilateral, so has 4 vertices. Those are the vertices of the feasible region:
(0,0)
(0,3)
(3,2)
(4,0)
_____
Additional comment
The objective function has positive slope, so the point (4, 0) will maximize it, and the point (0, 3) will minimize it.
