Answered: ( Minimize z = (x₁ − 4)² + (x₂-4)²…

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( 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

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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.

a)
Minimize z= (x₁ −4)² + (x₂ − 4)²
subject to 2x₁ + 3x₂ ≥ 6
-3x1-2x22-12
x₂20x₂20

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