Question: Problem 3: (Branch and bound) The following BIP problem was solved using a branch and bound trees Minimiza Z-5X, + 6X2 + 7X, + 8X:

Problem 3: (Branch and bound) The following BIP

Problem 3: (Branch and bound) The following BIP problem was solved using a branch and bound trees Minimiza Z-5X, + 6X2 + 7X, + 8X: + 9Xs Subject to: 3X - X + X + 2X = 2 X: + 3X2 - X3 - 2X + Xs20 -X. - X: +3X, + X: + Xs 21 X, is binary for j = 1,2,3,4,5 The branch and bound tree (using first-in-first-out order for choosing subproblems) is as follows: 26 05 3-03 X50 X1-0 Sulem 2 Z-21 Solema 055 3-1 Sagram 2-12 G=0 5 = 1 Use the details in the branch and bound tree to fill the following table. then. determine th: optimal solution for the BIP problem from the table. (Hint: For minimizing problem, start with initial upper bound = 0) SP Integer Upper Z Decision New Reason for decision DV? Bound SP stato 00 Branch D122 bed Remaining SP They Retrom Kensiple roffene Solutions rallber lo -3

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