maximise 2x1 +x2 subject to X1 – X2 < 1, 2.x1- X2 2 1, 2.x1 + 2x2 > 4, X1, X2 >0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CM: Cumulative Review Exercises
Problem 59CM
icon
Related questions
Question
1) draw feasible region and the direction of the objective function. 2) use sketch to find an optimal solution, objective values. If optimal solution does not exist explain why. 3) find the standard equation form 4) list all the basic feasible solutions of your standard equation.
maximise
2.x1 +2
subject to
X1 – X2 < 1,
2x1- X2 2 1,
2x1 + 2x2 2 4,
X1, X2 20
Transcribed Image Text:maximise 2.x1 +2 subject to X1 – X2 < 1, 2x1- X2 2 1, 2x1 + 2x2 2 4, X1, X2 20
Expert Solution
steps

Step by step

Solved in 3 steps with 1 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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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