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4. Consider the problem minx1+2x2x1+x24x1+5x25xZ+2. (i) Show that x=(415,41) is the optimal linear programming solution. (ii) Generate Gomory mixed integer cuts from the two rows
4. Consider the problem minx1+2x2x1+x24x1+5x25xZ+2. (i) Show that x=(415,41) is the optimal linear programming solution. (ii) Generate Gomory mixed integer cuts from the two rows of the optimal LP tableau taking the slack variables to be continuous variables. (iii) Observing that the slack variables are integer, generate the Gomory fractional cuts and compare. (iv) Solve the instance
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