1 Solve the following integer programming model by using the branch and bound algorithm and LIFO approach You have to apply the dual simplex algorithm in every iteration (graphical solutions will not be accepted) The optimum table of the LP relaxation is as given You have to explain your work in detail At the end, write the optimal solution explicitly Max z 7x 4x s t 2 z 1 Max z 7x 4x s t 4x1 3x 10 10x 4x2 16 X, X20, and X, X are integer (Problem 1 integer programming model) 0 0 X1 0 0 1 X2 0 1 0 4x1 3x2 10 10x1 4x2 16 X, X20, and X, X are integer Hint In the first sub problem, define the branches for x It is sufficient to find only one optimal solution $1 S2 rhs 6 7 5 14 100 7 5 7 2 7 18 7 2 7 3 14 4 7 Solve the integer programming model given in Problem 1 by using the cutting plane algorithm You have to apply the dual simplex algorithm in every iteration (graphical solutions will not be accepted) You have to explain your work in detail At the end, write the optimal solution explicitly Hint If there are multiple candidate rows to write the new constraint, always choose the row where x or x is the basic variable If the rows, where x and x are basic, are both candidates, choose the row where x is basic

Question: 1 Solve the following integer programming model by using the branch and bound algorithm and LIFO approach. You have to apply the dual simplex

Solve the following integer programming model by using the branch and bound algorithm and LIFO approach. You have to apply th

1 Solve the following integer programming model by using the branch and bound algorithm and LIFO approach. You have to apply the dual simplex algorithm in every iteration (graphical solutions will not be accepted). The optimum table of the LP relaxation is as given. You have to explain your work in detail. At the end, write the optimal solution explicitly. Max z=7x+4x s.t. 2 z 1 Max z=7x+4x s.t. 4x1+3x

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