Cars and trucks are made in a factory that is divided into tow shops. Shop 1 performs the basic assembly operation, working 6 person days on each truck and 3 on each car. Shop 2 performs finishing operations working 4 person days on both truck and car. Shop 1 has 150 person days a week while shop 2 has 120. The company makes $500 on each truck and $350 on each car. How many of each should be produced each week for max profits?

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