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2: Use the branch-and-bound method to solve the following IP: [ begin{array}{c} max z=4 x_{1}+3 x_{2}+x_{3} text { S.t. } 3 x_{1}+2 x_{2}+x_{3}

2: Use the branch-and-bound method to solve the following IP: \[ \begin{array}{c} \max z=4 x_{1}+3 x_{2}+x_{3} \\ \text { S.t. } \\ 3 x_{1}+2 x_{2}+x_{3} \leq 7 \\ 2 x_{1}+x_{2}+2 x_{3} \leq 1

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