Question: a) Using reduced costs, show that the displayed solution is optimal. b) Display the corresponding optimal solution in a network using nodes, directed arcs and

a) Using reduced costs, show that the displayed

a) Using reduced costs, show that the displayed solution is optimal.

b) Display the corresponding optimal solution in a network using nodes, directed arcs and arc flows and verify feasibility.

c) Find an alternative optimal solution.

d) Demonstrate that the Vogels approximation method provides the same or an alternative (optimal) solution.

The following is a transportation tableau. The unit cost, cij, is displayed in the upper left corner of each cell and the value of each basic variable is in parentheses. The supplies and demands are displayed in the last column and row, respectively. 30 30 10 9 (1) (8) 30 20 30 (3) (7) 10 40 30 40 (16) 16 20 7 8

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