(a) Use sensitivity analysis to determine the allowable range for C1 (b) Use sensitivity analysis to determine the allowable range for C3

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
icon
Related questions
Question
100%
Consider the following problem.
Maximize
subject to
and
ee0
X₁ + 3x₂ + 4x3 ≤ 30
x₂ + 4x₂
X3 ≤ 10
x₁ ≥ 0,
x₂ = 0, X3 ≥ 0.
Using slack variables x4 and x5 for the respective constraints, the simplex method yields the following
final set of equations:
Z = 2x₁ + 7x₂ - 3x3,
Z +
x₂ + x3
X₂ + 5x3 + x₂
x₂ + 4x₂ X3
+ 2x5 = 20
X5 = 20
x₂ = 10.
-
+
(a) Use sensitivity analysis to determine the allowable range for c₁1
(b) Use sensitivity analysis to determine the allowable range for C3
Transcribed Image Text:Consider the following problem. Maximize subject to and ee0 X₁ + 3x₂ + 4x3 ≤ 30 x₂ + 4x₂ X3 ≤ 10 x₁ ≥ 0, x₂ = 0, X3 ≥ 0. Using slack variables x4 and x5 for the respective constraints, the simplex method yields the following final set of equations: Z = 2x₁ + 7x₂ - 3x3, Z + x₂ + x3 X₂ + 5x3 + x₂ x₂ + 4x₂ X3 + 2x5 = 20 X5 = 20 x₂ = 10. - + (a) Use sensitivity analysis to determine the allowable range for c₁1 (b) Use sensitivity analysis to determine the allowable range for C3
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill