A school supply company produces wooden rulers and plastic rulers. It takes 30 minutes to cut, shape, and sand a wooden ruler. It takes 15 minutes to mold, dry, and cut a plastic ruler. A maximum of 480 minutes per day is set aside for these tasks.
It takes 6 minutes to paint the lines and numbers on both types of rulers. A maximum of 180 minutes per day is set aside for this task. What is the system of inequalities that models this scenario?