Find the maximum and minimum values of z = 16x + 34y, subject to the following constraints. 2x + 10y ≤ 80 6x + 2y ≤ 72 3x + 2y ≥ 6 x ≥ 0, y ≥ 0 A) The maximum value is z = ___________ , at (x, y) = (_,_) B) The minimun value is z = ___________ , at (x, y) = (_,_)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 2SC
icon
Related questions
Question

Find the maximum and minimum values of 

z = 16x + 34y,  subject to the following constraints.

 

2x  +  10y 80
6x  +  2y 72
3x  +  2y 6
x  ≥  0, y  ≥  0

A) The maximum value is z = ___________  , at (x, y) =  (_,_)

B) The minimun value is z = ___________  , at (x, y) =  (_,_)

 
 
 
 
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning