# Calculus

posted by
**Rajeev** on
.

Suppose f(x,y) = XY(1-10X-5Y).

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<z or if x=z and y<w. Also, describe the type of critical point by typing MA if it is a local maximum, MI if it is a local minimim, and S if it is a saddle point.

First point (, ) of type ?

Second point (, ) of type ?

Third point (, ) of type ?

Fourth point (, ) of type ?