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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 24 hours devote at most 6 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 200 591 and 269 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 0 www Let x be the number of hours spent bicycling let x be the number of hours spent jogging and let x3 be the number of hours spent swimming What is the objective function 2 x x x3