Example 4

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.
Use the system of inequalities from Example 3 to give a possible solution to the system.
  1. Use what you know about the constraints on the real-world situation to determine any limits on the possible solutions.
  2. Choose a value for w and solve the first two inequalities in the system for p.
  3. Interpret the results.
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information on their resources.