You are an auto shop supervisor in charge of assembling cars and painting cars. You earn $250 for every car assembled and $150 for every car painted. It takes 3 hours to assemble a car and you need 3 workers to do it. It takes 2 hours to paint a car but you need 4 workers to accomplish it. You only have 24 hours to work on this task and 36 employees at work today. Write, graph, and solve a linear programming system and find how many cars can be assembled and painted of each you need to make in order to maximize your earnings. State the maximum earnings made.