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] Write a system of inequalities that models the constraints involved in the making and then painting of wooden and plastic rulers.

[list=1] [*]Identify the information you know. [*]Write an inequality using variables to represent the amount of time needed to make the rulers. [*]Use the same variables to write an inequality to represent the amount of time needed to paint the rulers. [*]Determine the constraints on this situation, then write inequalities to represent these constraints. [*]To write the system of inequalities for this situation, combine all the inequalities related to the situation and list them in a brace, {. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

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 from Example 3 to give a possible solution to the system.

[list=1] [*]Use what you know about the constraints on the real-world situation to determine any limits on the possible solutions. [*]Choose a value for [i]w[/i] and solve the first two inequalities in the system for [i]p[/i]. [*]Interpret the results. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.