As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 20 hours, devote at most 7 hours to swimming, and jog for no more than the total number of hours cycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 596, and 294, respectively. How many hours should be allotted to each activity to maximize the number of calories burned