(b) maximize subject to 1 + 2x2 x₁ x₁ + 2x₂ ≤ 6, x1 + 3x2 ≤ 12, X1 X1, X20

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 39E
icon
Related questions
Question

Hi. I got the solution to this question wrong, despite asking one of your experts. Please can you give it another go and help me by providing a detailed solution. Thank you

1. For each of the following programs:
(1) Sketch the feasible region of the program and the direction of the objective
function.
(2) Use you sketch to find an optimal solution to the program. State the optimal
solution give the objective value for this solution. If an optimal solution does
not exist, state why.
Transcribed Image Text:1. For each of the following programs: (1) Sketch the feasible region of the program and the direction of the objective function. (2) Use you sketch to find an optimal solution to the program. State the optimal solution give the objective value for this solution. If an optimal solution does not exist, state why.
(b)
maximize
subject to
₁ + 2x2
-x1 + 2x₂ ≤ 6,
³x₁ +3x₂ ≤ 12,
x1, x2 > 0
Transcribed Image Text:(b) maximize subject to ₁ + 2x2 -x1 + 2x₂ ≤ 6, ³x₁ +3x₂ ≤ 12, x1, x2 > 0
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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning