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:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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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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