Consider a very elementary transportation problem with only two origins and two destinations. The…
Consider a very elementary transportation problem with only two origins and two destinations. The supplies, demands, and shipping costs per unit are given in the following tableau. Since the total number of units supplied equals the total number of units demanded, the problem may be formulated with equality constraints. An optimal solution to the problem is: x11 = 20, x12 = 0, x21 = 30, x22 = 50; and a corresponding set of shadow prices on the nodes is: ys1 = 4, ys2 = 0, yd1 = 1, yd2 = 4. a) Why is the least expensive route not used? b) Are the optimal values of the decision variables unique? c) Are the optimal values of the shadow prices unique? d) Determine the ranges on the righthand-side values, changed one at a time, for which the basis remains unchanged. e) What happens when the ranges determined in (d) are exceeded by some small amount? Apr 24 2022 07:42 AM
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