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 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, 413 and 287, 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 s0.) Let x, be the number of hours spent bicycling, let x, be the number of hours spent jogging, and let x, be the number of hours spent swimming. What is the objective function? z = 200 x, + 413 x2 + 287 x3 hours bicycling, hours jogging, and 2 hours swimming. To maximize the number of calories burned, the man should spend (Simplify your answers.)

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 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, 413 and 287, 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 s0.) Let x, be the number of hours spent bicycling, let x, be the number of hours spent jogging, and let x, be the number of hours spent swimming. What is the objective function? z = 200 x, + 413 x2 + 287 x3 hours bicycling, hours jogging, and 2 hours swimming. To maximize the number of calories burned, the man should spend (Simplify your answers.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 57SE: Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and...

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