College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.6 - Page 580: 7


The objective function has maximum value 24 at (6,0)

Work Step by Step

The region that is defined by the constraints is * to the right of x=0 (the y=axis), * above the line y=0 (the x-axis), * below the line 2x+3y=12 (for this line, when x=0, y=4 and when y=0, x=6) * above the line x+y=3, (for this line, when x=0, y=3 and when y=0, x=3) The region is shaded red on the image below. The corners are (0,4), (0,3), (3,0) and (6,0). Calculating the objective function z=4x+y in each corner point, (table in step 6 of the image) we find that the objective function has maximum value 24 at (6,0)
Small 1512138438
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.