Cayuga Hardwoods produces handcrafted jewelry boxes. A standard$-$size box requires $12$ board feet of hardwood in the finished product. In addition, $6\mathrm{.}0$ board feet of scrap lumber are normally left from the production of one box. Hardwood costs $$8\mathrm{.}00$ per board foot, plus $$5\mathrm{.}50$ in transportation charges per board foot.