Graph of the system of inequalities.

A toy maker makes exactly two toys out of wood; the Box \((x)\) and the Bat ( \(y\) ). He makes \(\$ 5\) per Box and \(\$ 6\) per Bat. Each Box requires 30 ounces of wood, and each Bat requires 45 ounces of wood. Today the toy maker has 270 ounces of wood available. The toy maker also only makes 8 wooden toys per day. To maximize profit, how many of each wooden toy should the toy maker make?