Solve: Maximize 10x₁ + 6x2 - 8x3 5x12x2 +6x3 ≤ 20 subject to 10x1 + 4x2 - 6x3 ≤ 30 X1, X2, X3 20

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section: Chapter Questions
Problem 9CT
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Linear Programming:

I got started on the structure, please follow up with my outline for Q3 to solve the problem

3. Solve:
Maximize 10x₁ + 6x2 - 8x3
subject to
5x12x2 + 6x3 ≤ 20
10x₁ + 4x2 - 6x3 ≤ 30
X1, X2, X3 ≥ 0
Transcribed Image Text:3. Solve: Maximize 10x₁ + 6x2 - 8x3 subject to 5x12x2 + 6x3 ≤ 20 10x₁ + 4x2 - 6x3 ≤ 30 X1, X2, X3 ≥ 0
3.
2.
Minimize x + 2y + 3z
2 ≤ x + y ≤ 3
4 ≤ x + 2 ≤ 5
X, Y, Z 20
s.t.
Maximize 10x₁ + 6x₂ - BY 3
s.t.
5x₁2x₂ + 6x3 ≤ 20
10x₁ + 4x₂ - 6x3 ≤ 30
X₁, X₂, X3 20
transform using slack variables:
Transcribed Image Text:3. 2. Minimize x + 2y + 3z 2 ≤ x + y ≤ 3 4 ≤ x + 2 ≤ 5 X, Y, Z 20 s.t. Maximize 10x₁ + 6x₂ - BY 3 s.t. 5x₁2x₂ + 6x3 ≤ 20 10x₁ + 4x₂ - 6x3 ≤ 30 X₁, X₂, X3 20 transform using slack variables:
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