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 & 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 , 602 , and 278 , 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 ? ( Hint : Write the constraint involving jogging in the form SO. ) Let X , be the number of hours spent bicycling , let * , be the number of hours spent jogging , and let * } be* the number of hours spent swimming . What is the objective function ?* 2 = | |X 1 + [* 2 + [| X 3