CCGPS CA 1.4.1 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 created in Example 3 to give a possible solution to the system.
  1. We know from this situation that you cannot produce a negative amount of rulers, so none of our solutions can be negative.
  2. In future lessons, we discuss more precise ways of determining the solution set to a system. For now, we can use our knowledge of numbers and ability to solve algebraic sentences to find possible solutions.
  3. Choose a value for w. Substitute the value for each occurrence of w in the system and solve for p.
  4. Interpret the results.