Find the max/min for subject to
Am I doing anything wrong so far? I can't seem to get the right answer. All help appreciated!
I think that we can solve this problem without Lagrange optimization tools:
We have a circle center (0,0) with radius of sqrt(8), our mission is to find point, (x,y), on that circle, with max{x*y}, try to show that such point have the following property -- x=y.
Therefor, if x=y, we'll get,
2x^2=8
x=2
y=2
and 3xy=12.