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 30 ​hours, devote at most 7 hours to​ swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned by this person per hour by​ bicycling, jogging, and swimming are​ 200,415 ​, and 295 respectively. How many hours should be allotted to each activity to maximize the number of calories​ burned? What is the maximum number of calories he will​ burn?