( Minimize z = (x₁ − 4)² + (x₂-4)² subject to 2x₁ + 3x₂ ≥ 6 -3x1-2x2 ≥-12 x₂20;x₂20
( Minimize z = (x₁ − 4)² + (x₂-4)² subject to 2x₁ + 3x₂ ≥ 6 -3x1-2x2 ≥-12 x₂20;x₂20
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
i. Sketch the edges of the feasible region.
(You may draw the graph manually or with the aid of technology.)
ii. Shade the feasible region.
iii. Sketch the objective function contour curves.
(To draw a family of contour curves, assign several values to z.)
iv. With the aid of the objective function curves, mark the point where the optimal
solution will most likely occur.
Transcribed Image Text:a)
Minimize z= (x₁ −4)² + (x₂ − 4)²
subject to 2x₁ + 3x₂ ≥ 6
-3x1-2x22-12
x₂20x₂20
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