A factory uses two types of raw materials, Material P and Material Q, to produce two different products, Product X and Product Y. Each unit of Product X requires 4.5 pounds of Material P and 2 pounds of Material Q. Each unit of Product Y requires 3 pounds of Material P and 5 pounds of Material Q. The factory has a daily supply of 450 pounds of Material P and 300 pounds of Material Q. If $x$ is the number of units of Product X and $y$ is the number of units of Product Y produced daily, the production is constrained by the inequalities:

$4.5 x + 3 y \leq 450$ (for Material P)
$2 x + 5 y \leq 300$ (for Material Q)

If the factory produces 60 units of Product X in a day, what is the maximum number of units of Product Y that can be produced, given the constraints?