Question: A linear function f ( x , y ) = a x b y c has so critical points. Therefore, the global minimum and maximum

A linear function

f (x, y) = a x b y c

has so critical points. Therefore, the global minimum and maximum values of

f (x, y)

oe a closod and bounded domain must occur on the bousdary of the domain. Furthermore, it can be easily seen that if the domain is a polygon, then the global minimum and maximum values of

f

mast occur at a vertex of the polygon. Find the global mitimem and maximum values of

f (x, y) = 4 x - 7 y - 8

on the domain whene

| x | | y | 4 .

(

Give your answers as a whole numbers.

)

global minimum

ncorrect Answer

global maximum:

A linear function f ( x , y ) = a x b y c has so

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