Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁ + x₂ ≤ 11 x₁ + x₂ ≤ 27 2x₁ + 5x₂ ≤ 90

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.4: Applications Of Eigenvalues And Eigenvectors
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Maximize the value of z = 4x1 + 6x2, where x, and x2 > 0, subject to the following constraints.
-x1 + x2 < 11
X1 + x2 < 27
2x1 + 5x2 < 90
OPTIMAL SOLUTION: x1=4, x2=8 and z=400.
1. Changes in the coefficient of the objective function
Determine the range of optimality for c1 and c2
2. Changes in the RHS of the constraints
Determine the DUAL VALUES
Transcribed Image Text:Maximize the value of z = 4x1 + 6x2, where x, and x2 > 0, subject to the following constraints. -x1 + x2 < 11 X1 + x2 < 27 2x1 + 5x2 < 90 OPTIMAL SOLUTION: x1=4, x2=8 and z=400. 1. Changes in the coefficient of the objective function Determine the range of optimality for c1 and c2 2. Changes in the RHS of the constraints Determine the DUAL VALUES
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