Two different maximum!

Algebra Level 5

Let \(x,y\) and \(z\) be non-negative numbers and \(x+y+z=1\).

And denote \(A\) and \(B\) denote the maximum values of \(x^2 y + y^2 z + z^2 x\) and \(x^2 y + y^2 z + z^2 x + xyz\), respectively.

Find the value of \(54(A+B) \).

×

Problem Loading...

Note Loading...

Set Loading...