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 32 hours, devote at most 2 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, 573, and 257, 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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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 32 hours, devote at most 2 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, 573, and 257, 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  

This exercise aims to calculate the optimal distribution of time spent on different activities to maximize calorie burning under specific constraints.
Transcribed Image Text: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 32 hours, devote at most 2 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, 573, and 257, 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 This exercise aims to calculate the optimal distribution of time spent on different activities to maximize calorie burning under specific constraints.
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