In this problem, we investigate optimization in an infinite (unbounded) region of the plane. Consider the three inequalities
\(x\le 2y \) \(-x \le 2y\) and \(-5 \le x \le 5\)
(a) Graph the region of points that satisfy all three inequalities.
(b) does x-y have a max. value in the region graphed in part (a)? If so, what is it.
(c) Does x+y have a max. value in the region graphed in part (a)? If so, what is it.