At one of its factories, a manufacturer of college logo sweatshirts makes two styles: crewneck pullover and hooded. Each pullover sweatshirt takes 5 minutes to cut out and 20 minutes to assemble and...

At one of its factories, a manufacturer of college logo sweatshirts makes two styles: crewneck pullover and hooded. Each pullover sweatshirt takes 5 minutes to cut out and 20 minutes to assemble and finish. Each hooded sweatshirt takes 5 minutes to cut out and 30 minutes to assemble and finish. The plant has enough workers to provide at most 3,750 minutes per day for cutting and at most 19,500 minutes per day for assembly and finishing. The profit on each pullover sweatshirt is $12 and the profit on each hooded sweatshirt is $14. How many of each sweatshirt should be produced each day to obtain maximum profit? Find the maximum daily profit.