Consider the following problem. max 2x₂ + 3x₂ + 5x3 s.t. 2x₂ + 4x₂ ≤ 12 X₁-2x₂ + x3 ≤ 10 X1, X₂, X3 20 If the basic variables are x₂ and x3 for a feasible corner point, answer the following questions: • Find the value of basic variables at this point. • Find the objective function at this point. • Is this solution optimal?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following problem.
max
s.t.
2x₂ + 3x₂ + 5x3
2x₂ + 4x₂
≤ 12
10
x₁2x₂ + x3
X1, X2, X3 20
If the basic variables are x₂ and x3 for a feasible corner point, answer the following questions:
•
Find the value of basic variables at this point.
•
Find the objective function at this point.
•
Is this solution optimal?
Transcribed Image Text:Consider the following problem. max s.t. 2x₂ + 3x₂ + 5x3 2x₂ + 4x₂ ≤ 12 10 x₁2x₂ + x3 X1, X2, X3 20 If the basic variables are x₂ and x3 for a feasible corner point, answer the following questions: • Find the value of basic variables at this point. • Find the objective function at this point. • Is this solution optimal?
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