A school supply company produces wooden rulers and plastic rulers. The rulers must first be made, and then painted. [list] [*]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. [/list] Use the system of inequalities created in Example 3 to give a possible solution to the system.
[list=1] [*]We know from this situation that you cannot produce a negative amount of rulers, so none of our solutions can be negative. [*]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. [*]Choose a value for [i]w[/i]. Substitute the value for each occurrence of[i] w[/i] in the system and solve for [i]p[/i]. [*]Interpret the results. [/list]