I am trying to find the min and max values of f(x,y)=2x^2 + 3y^2 subject to xy=5.
f(x,y)=2x^2 + 3y^2 subject to xy=5
The Attempt at a Solution
When I go through the calculations, I end up with two critical points, but both yield the same maximum value. Is this correct that there are two maxs and no min? I'm skeptical. Any suggestions are appreciated.