Question: Problem 6-02 (Algorithmic) Consider the following network representation of a transportation problem: Des Moines 150 84 180 Jefferson City 54 42 48 Kansas City 90

Problem 6-02 (Algorithmic) Consider the following

Problem 6-02 (Algorithmic) Consider the following network representation of a transportation problem: Des Moines 150 84 180 Jefferson City 54 42 48 Kansas City 90 60 120 Omaha 30 St. Louis 60 The supplies, demands, and transportation costs per unit are shown on the network. a. Develop a linear programming model for this problem; be sure to define the variables in your model. Let Xij = amount shipped from supply node i to demand node j. Min *21 X23 s.t. *12 + X235 X11 *21 *12 X22 = 13 X23 X11, X12, X13, X21, X22, X23 20 b. Solve the linear program to determine the optimal solution. Amount Cost Jefferson City - Des Moines $ Jefferson City - Kansas City Jefferson City - St. Louis Omaha - Des Moines Omaha - Kansas City Omaha - St. Louis Total Cost

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