a manufacturer of two types of swings, tarzan and high flyer, makes a profit of $50 on tarzan swings and $60 on high flyer swings. in the manufacturing process each tarzan swing requires 4 hours of assembly and 4 hours of finishing. due to warehouse constraints the manufacturer only has 144 hours a day available for assembly and 200 hours a day for finishing. assuming every swing manufactured is sold, how many of each type should be made to maximize profit?