A linear function f (x, y) = ax + by + c has no critical points. Therefore, the global minimum and maximum values of f (x, y) on a closed and bounded domain must occur on the boundary of the domain. Furthermore, it can be easily seen that if the domain is a polygon, as in the figure, then the global minimum and maximum values of f must occur at a vertex of the polygon. (4.11) (2,7) (4.6) (3.1) (8,7) Find the global minimum and maximum values of f (x, y) on the specified polygon. global minimum: (7,4) f(x, y) = 9y - 5x + 9 (Give your answers as a whole numbers.) global maximum:

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