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It takes Mike 10 minutes to do an oil change and 20 minutes to do a tire change. He's working for 60 minutes today. He only has enough tires in stock to change them on 2 cars. If he can earn $10 per oil change, and $40 per tire change, how many of each should he do to maximize profits?

Must include:
1. a list of organized information.
2. determine the equation to maximize.
3. set up the linear inequalities.