CCGPS CA 1.4.1 Example 3

A school supply company produces wooden rulers and plastic rulers. The rulers must first be made, and then painted.
  • It takes 20 minutes to make a wooden ruler. It takes 15 minutes to make a plastic ruler. There is a maximum amount of 480 minutes per day set aside for making rulers.
  • It takes 5 minutes to paint a wooden ruler. It takes 2 minutes to paint a plastic ruler. There is a maximum amount of 180 minutes per day set aside for painting rulers.
Write a system of inequalities that models the making and then painting of wooden and plastic rulers.