Maximum Product!
Algebra
Level
4
\(x,y\) and \(z\) are positive reals satisfying \(x+y+z=1\). If the maximum value of \(x^3 y^2 z\) can be expressed as \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).
by
Anuj Shikarkhane