A company produces two products, $X$ and $Y$. Each unit of $X$ requires $2$ hours of labor, and each unit of $Y$ requires $3$ hours of labor. The company has at most $120$ hours of labor available. If the company must produce at least $10$ units of $X$ and at least $20$ units of $Y$, what is the maximum number of units of $X$ that can be produced?