What is the extreme Z(x,y)=x+y-((x*y)/(100)) ?

The extreme Z(x,y)=x+y-((x*y)/(100)) is Saddle(100,100)

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extreme Z(x,y)=x+y-((x*y)/(100))

extreme

Saddle (100, 100)

Solution steps

Find the critical points:

(100, 100)

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - \frac{1}{10000}

Check the sign of at each critical point

Check critical point

(100, 100) :

Saddle

Saddle (100, 100)

What is the extreme Z(x,y)=x+y-((x*y)/(100)) ?
The extreme Z(x,y)=x+y-((x*y)/(100)) is Saddle(100,100)