# 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 $$54(A+B)$$.

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