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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.

 
 Jul 5, 2020

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