An automobile manufacturer makes cars and trucks in a factory that is divided up into two different shops. The first shop, which does the basic assembly, needs 4 worker days per car and 3 worker days per truck. The second shop, which does the first touches, needs 2 worker days for cars and 3 worker days for trucks. The first shop has 180 worker days available per week and the second shop has 120 worker days available. The profit per car is $400 and profit per truck is $500 how many of each type should be produced in order to maximize profit?