Question: Problem 7. Apply branch and bound to solve the following discrete optimization problem. min 7X1 + 12x; + 5X3 + l4X4 s.t. 300x1 + 600x2

Problem 7. Apply branch and bound to solve the following discrete optimization problem. min 7X1 + 12x; + 5X3 + l4X4 s.t. 300x1 + 600x2 + 500X3 + 1600X4 2 700 X1, X2, X3, X4 =00r1 Draw the branch and bound tree. Mark the order that the nodes in the tree are expanded. Annotate each node with the lower and upper bounds. Use constraint relaxation (i.e. treating each xi as a continuous variable in [0,1]), NOT Lagrangian relaxation. You may use any solver (including NEO S) to solve the relaxed subproblems. (17pt)

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