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
26
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,
520,
and
290,
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