A manufacturing firm produces two products, $A$ and $B$, using a shared resource (machine time). Product $A$ requires $2$ hours of machine time and produces a profit of \40$. Product$B$requires$3$hours of machine time and produces a profit of$$70$. The total available machine time is$120$hours per week. To maximize weekly profit, how many units of$A$($x$) and$B$($y$) should be produced, given the constraint$2x + 3y \le 120$?