can someone help with this problem? I have the function:
$F(x,y,z)= x^2 + y^2 + z^2$
And I need to find its lowest and highest value in the interval:
$x+2y+3z \le 1$
$x\ge 0, y\ge 0, z\ge 0$
It's not hard to find that it has a local minimum at $(0,0,0)$ by using derivatives and the Hessian matrix, but what about the maximum? How would I find that?