Convince yourself that the maximum and minimum values of a linear function ((x, y) = ax + by + c over a closed polygonal set (i.e., a polygon and its interior) will always occur at a vertex of the polygon. Then use this fact to find each of the following:
(a) Maximum value of 2x + 3y + 4 on the closed polygon with vertices (-1, 2), (0, 1), (1, 0), (-3, 0), and (0, -4)
(b) Minimum value of -3x + 2y + 1 on the closed polygon with vertices (-3, 0), (0, 5), (2, 3), (4, 0), and (1, -4)