Question: As part of a weight-reduction program, a person designs a monthly exercise program consisting of bicycling, jogging, and swimming. They would like to exercise at

As part of a weight-reduction program, a person designs a monthly exercise program consisting of bicycling, jogging, and swimming. They would like to exercise at most 30 hours, devote at most 4 hours to swimming, and jog for no more than the total number of hours of bicycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 475, and 275, respectively. How many hours should be allotted to each activity to maximize the number of calories burned?

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