Question 106
Let $a$, $b$, $c$ be positive real numbers such that $a + b + c = 3$. Determine the minimum value of the expression
$$
A = \frac{2 - a^{3}}{a} + \frac{2 - b^{3}}{b} + \frac{2 - c^{3}}{c}
$$
$$
A = \frac{2 - a^{3}}{a} + \frac{2 - b^{3}}{b} + \frac{2 - c^{3}}{c}
$$