Sketch in two and three dimensions the case in which a monotonically increasing objective function takes on a maximum over a closed, bounded feasible set. Explain from this why the condition in [G.1]...

Sketch in two and three dimensions the case in which a monotonically increasing objective function takes on a maximum over a closed, bounded feasible set. Explain from this why the condition in [G.1] is not necessary for a local maximum in a constrained maximization problem