The maximum value of the function.
$f\left(x, y, z\right)= \left(x - 1 / 3\right)^{2}+ \left(y - 1 / 3\right)^{2}+ \left(z - 1 / 3\right)^{2}$
Subject to the constraints
$x + y + z=1, x \geq 0, y \geq 0, z \geq 0$
is
- $1 / 3$
- $2 / 3$
- $1$
- $4 / 3$
- $4 / 9$