So I understand that a monotonic transformation preserves the order of a function, but I was wondering: could you perform a transformation by multiplying by a variable?
For example the formula:
U = (XY) - (XY/(Z+1))
Is it an acceptable monotonic transformation to multiply the whole...
Although, I've been reading that extreme values can occur at endpoints, stationary points, and singular points. So obviously this function has some singular points, but I do not know enough to go any further.
Could there be a max at the asymptotes?
Homework Statement
Seems straightforward enough, Lagrangian optimization
Homework Equations
Find the max of x^-1 + y^-1 subject to the constraint m=x+y
The Attempt at a Solution
At first I thought no problems, x*=y*=m/2, however:
Using the Lagrangian formula yields...