Final answer:
The correct vertex for the linear programming problem is (0,0).
Step-by-step explanation:
The correct answer is (0,0).
To determine the vertices of a linear programming problem, we need to find the intersection points of the constraints.
For this particular problem, we don't have any constraints given, so the feasible region is the entire graph. One of the vertices of this region is the origin, represented by the point (0,0).