Solve the following integer programming problem by the branch-and-bound algorithm. (Hint: You do not need to solve the subproblems using the simplex algorithm.) Minimize subject to 6x1+7x2+5x3 + 3x + 4x5 +8x6 4x1 + 6x2+3x3 + 2x4 + 3x5 +5x ≥ 14 X1, X2, X3, X4, X5, X6 € {0,1}

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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Solve the following integer programming problem by the branch-and-bound algorithm. (Hint:
You do not need to solve the subproblems using the simplex algorithm.)
Minimize
subject to
6x1+7x2+5x3 + 3x + 4x5 +8x6
4x1 + 6x2+3x3 + 2x4 + 3x5 +5x ≥ 14
X1, X2, X3, X4, X5, X6 € {0,1}
Transcribed Image Text:Solve the following integer programming problem by the branch-and-bound algorithm. (Hint: You do not need to solve the subproblems using the simplex algorithm.) Minimize subject to 6x1+7x2+5x3 + 3x + 4x5 +8x6 4x1 + 6x2+3x3 + 2x4 + 3x5 +5x ≥ 14 X1, X2, X3, X4, X5, X6 € {0,1}
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