Just "simple" Ineq #2

Algebra Level 4

Let \(x, y, z\) be real numbers so that \(0 \le x, y, z \le \frac 32\) and \(x + y + z = 3\). Find the maximum value of \(x^{3} + y^{3} + z^{3} + 4xyz\).

Write your answer to 5 decimal places.

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