Question 94
Let $x, y, z$ be positive real numbers such that $x+y+z=3$. Find the maximum value attained by
$$
\sqrt{x}+\sqrt{2 y+2}+\sqrt{3 z+6}
$$
For which values of $x, y, z$ is this maximum attained?
$$
\sqrt{x}+\sqrt{2 y+2}+\sqrt{3 z+6}
$$
For which values of $x, y, z$ is this maximum attained?