olve the instancemax 17𝑥1 + 10𝑥2 + 25𝑥3 + 17𝑥45𝑥1 + 3𝑥2 + 8𝑥3 + 7𝑥4 ≤ 12𝑥 ∈ {0, 1}4by branch-and-bound. Always branch first on the node with the bestbound. You must number the nodes as you explore them. Name1the first node as “Root”. Create a table with one row for each node.At each row, indicate the value of the variables in the solution ofthe node, the capacity used, the profit of the solution (or indicateits infeasibility) and the status associated with the node (branched,pruned by infeasibility, pruned by integrality or pruned by quality).
Question
olve the instancemax 17𝑥1 + 10𝑥2 + 25𝑥3 + 17𝑥45𝑥1 + 3𝑥2 + 8𝑥3 + 7𝑥4 ≤ 12𝑥 ∈ {0, 1}4by branch-and-bound. Always branch first on the node with the bestbound. You must number the nodes as you explore them. Name1the first node as “Root”. Create a table with one row for each node.At each row, indicate the value of the variables in the solution ofthe node, the capacity used, the profit of the solution (or indicateits infeasibility) and the status associated with the node (branched,pruned by infeasibility, pruned by integrality or pruned by quality).
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