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 \(A+B\)?

×

Problem Loading...

Note Loading...

Set Loading...