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1. Use graphing techniques to solve this linear programming problem. z = 3x₁ + 2x₂ 3x₁ + 3x₂ ≤ 66 x₁ + 4x₂ ≤ 56 2x₁ + x₂ ≤ 36 X1, X₂ ≥ 0 Maximize: Subject To:

1. Use graphing techniques to solve this linear programming problem. z = 3x₁ + 2x₂ 3x₁ + 3x₂ ≤ 66 x₁ + 4x₂ ≤ 56 2x₁ + x₂ ≤ 36 X1, X₂ ≥ 0 Maximize: Subject To:

Advanced Engineering Mathematics
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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1. Use graphing techniques to solve this linear programming problem. z = 3x₁ + 2x₂ 3x1 + 3x2 < 66 x₁ + 4x₂ ≤ 56 2x₁ + x₂ ≤ 36 X1, X₂ ≥ 0 Maximize: Subject To: 2. Put the following matrix into reduced row echelon form. If this matrix represented the augmented matrix of a system of linear equations in x, y, and z, what would be the solution of the system of linear equations? 1 1 1 1 ³) 3 4 1 4 9. 1 2 3 3. Solve the following linear program by hand using the Simplex Method. Show your work details. Maximize: Subject To: z = 3x₁ + 2x₂ 3x1 + 3xz < 66 x₁ + 4x₂ ≤ 56 2x₁ + x₂ ≤ 36 X₁, X₂ ≥ 0
Transcribed Image Text:1. Use graphing techniques to solve this linear programming problem. z = 3x₁ + 2x₂ 3x1 + 3x2 < 66 x₁ + 4x₂ ≤ 56 2x₁ + x₂ ≤ 36 X1, X₂ ≥ 0 Maximize: Subject To: 2. Put the following matrix into reduced row echelon form. If this matrix represented the augmented matrix of a system of linear equations in x, y, and z, what would be the solution of the system of linear equations? 1 1 1 1 ³) 3 4 1 4 9. 1 2 3 3. Solve the following linear program by hand using the Simplex Method. Show your work details. Maximize: Subject To: z = 3x₁ + 2x₂ 3x1 + 3xz < 66 x₁ + 4x₂ ≤ 56 2x₁ + x₂ ≤ 36 X₁, X₂ ≥ 0
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