Scott owns the manufacturing company which produces 2 models of entertainment centers. Athens needs 4 feet of fancy molding and takes four hours to manufacture. TheBarcelona requires 15 feet of molding and three hours to manufacture. In the given week, there are 120 hours of labor available and company has 360 feet of molding to use for entertainment centers. Company makes the profit of $9 on Athens and $12 on Barcelona. Find how many of every model must company manufacture to maximize profit?