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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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