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Consider the linear program z = 2x1 - 3x2 4x1 +3x2 < 12 X1 – 2x2 < 2 X1, X2 0. minimize subject to Represent the point x = applicable, a direction of unboundedness. Find three different representations. (1, 1)" as a convex combination of extreme points plus, if

Consider the linear program z = 2x1 - 3x2 4x1 +3x2 < 12 X1 – 2x2 < 2 X1, X2 0. minimize subject to Represent the point x = applicable, a direction of unboundedness. Find three different representations. (1, 1)" as a convex combination of extreme points plus, if

Advanced Engineering Mathematics
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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4.6. Consider the linear program minimize z = 2x1 - 3x2 subject to 4x1+3x2 < 12 X1 – 2x2 < 2 X1, X2 0. Represent the point x (1, 1)' as a convex combination of extreme points plus, if applicable, a direction of unboundedness. Find three different representations.
Transcribed Image Text:4.6. Consider the linear program minimize z = 2x1 - 3x2 subject to 4x1+3x2 < 12 X1 – 2x2 < 2 X1, X2 0. Represent the point x (1, 1)' as a convex combination of extreme points plus, if applicable, a direction of unboundedness. Find three different representations.
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