You are the Fundamental Theorem of Linear Programming
So yeah. Most mathematicians don't care about you due to your association with the simplex method and mathematics' bastard son computer science. Real world applications *shudder*
The Fundamental Theorem of Linear Programming says:
Any linear programming problem is infeasible, is unbounded, or has an optimal solution. Should a linear programming problem have an optimal solution, there exists an extreme point of the feasible region which is optimal.
Which Fundamental Theorem of Mathematics Are You?
