Solve the following minimization problem: min 4x1 4x2 X3 2 X2 X3 s.t. x1 3x3 2x1 X2 X1, X2, X3 VI ΛΙ ΛΙ + + 1 + + +

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
Problem 12WE
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With reference to the attached image, 

(a) Transform the given problem into a standard form problem.

(b) Write out the corresponding LP problem used for the big-M method.

(c) Apply the simplex method to the problem in (b) to show that the given problem is infeasible.

Q2. Solve the following minimization problem:
min
4x1
4x2
+
X3
2
X2
+
X3
s.t.
3x3
5
2x1
X2
X1, X2, x3
VI ΛΙ Λ
+ +
Transcribed Image Text:Q2. Solve the following minimization problem: min 4x1 4x2 + X3 2 X2 + X3 s.t. 3x3 5 2x1 X2 X1, X2, x3 VI ΛΙ Λ + +
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