Consider an optimization problem with two variables and the constraints X1 ≤ 5, X2 ≤ 5 where both X1 and X2 are nonnegative.
a. Sketch the feasible region for this problem.
b. Sketch level curves of a nonlinear objective for this problem that would have exactly one local optimal solution that is also the global optimal solution.
c. Redraw the feasible region and sketch level curves of a nonlinear objective for this problem that would have a local optimal solution that is not the global optimal solution.