Unexpectedly Powerful
Algebra
Level
4
Consider all triples of real numbers \( (x,y,z) \) such that \( x, y, z \geq \frac{1}{2} \) and \( x+y+z = 3 \).
If the minimum and maximum values of \( x^x y^y z^ z \) are \(A\) and \(B\), respectively, what is \(A+B\)?
by
Rohit Kumar