Question

Suppose f(x,y)=xy(1−10x−4y)f(x,y)=xy(1−10x−4y).
f(x,y)f(x,y) has 4 critical points. List them in increasing lexographic order. By that we mean that (x, y) comes before (z, w) if x<zx<z or if x=zx=z and y<wy<w. Also, determine whether the critical point a local maximum, a local minimim, or a saddle point.

First point (____________,__________)
Classification:

Second point(__________,__________)
Classification:

Third point (___________,_________)
Classification:

Fourth point (__________,_________)
Classification:

Answer 1