b) Minimize z = (x₁ − 4)² + (x₂ −4)² : subject to x₁ + x₂ ≥ 5 -X1 2-6 -2x₂2-11 x₁ ≥ 0; x₂ ≥ 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.6: Partial Fractions
Problem 62E: Match the rational expression on the left with the correct partial fraction decomposition form on...
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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. 

b)
= (x₁ −4)² + (x₂ − 4)²
x₁ + x₂ = 5
-X1
2-6
-2x₂2-11
x₁ ≥ 0; x₂ ≥ 0
Minimize z =
subject to
Transcribed Image Text:b) = (x₁ −4)² + (x₂ − 4)² x₁ + x₂ = 5 -X1 2-6 -2x₂2-11 x₁ ≥ 0; x₂ ≥ 0 Minimize z = subject to
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