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a) Let $\mathcal{R}$ be the region consisting of the points $(x,y)$ that satisfy \[-6 \le 3x - 5y \le 6\]and \[-3 \le x + 2y \le 3.\]Plot the region $\mathcal{R},$ and identify the vertices of polygon $\mathcal{R}.$ (

b) Find the maximum value of $x + y$ among all points $(x,y) \in \mathcal{R}.$

 Dec 7, 2019

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