Question

11. 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 38 hours, devote at most 3 hours to swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned per hour by bicycling, jogging, and swimming are 200, 622, and 258, respectively. How many hours should be allotted to each activity to maximize the number of calories burned? If he loses 1 pound of weight for each 3,500 calories burned, how many pounds will he lose each month exercising?

How many hours should be allotted to each activity to maximize the number of calories burned?
_ hours for swimming
_ hours for bicycling
_ hours for jogging

Answer 1

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 38 ​hours, devote at most 8 hours to​ swimming, and jog for no more than the total number of hours bicycling and swimming. The calories burned per hour by​ bicycling, jogging, and swimming are​ 200, 637​, and 273​, respectively. How many hours should be allotted to each activity to maximize the number of calories​ burned? If he loses 1 pound of weight for each​ 3,500 calories​ burned, how many pounds will he lose each month​ exercising?
How many hours should be allotted to each activity to maximize the number of calories​ burned?

nothing hours for swimming

nothing hours for bicycling

nothing hours for jogging
How many pounds will he lose each month​ exercising?

nothing pounds ​(Round to the nearest pound as​ needed.)