A freelancer creates and sells both regular novels and graphic novels. They use their own resources to print, so it can be somewhat slow. While regular novels only take $6$ minutes to print, each graphic novel takes $10$ minutes to print. Each novel, regardless of type, takes $5$ minutes each to package and prepare for shipping. They must sell at least one third as many graphic novels as they do regular novels. During a typical workday, the freelancer has $3$ hours available to print and $1\mathrm{.}5$ hours for packaging. Determine how many regular novels and graphic novels they must sell each day to maximize their profits, if they profit $$8$ on each regular novel and $$12$ on each graphic novel.

The maximum profit is $ when regular novels and graphic novels are created and sold.