Question: Problem 6-02 (Algorithmic) Consider the following network representation of a transportation problem: The supplies, demands, and transportation costs per unit are shown on the network.

Problem 6-02 (Algorithmic)

Consider the following network representation of a transportation problem:

The supplies, demands, and transportation costs per unit are shown on the network.

Develop a linear programming model for this problem; be sure to define the variables in your model. If constant is "1", it must be entered in the box.

Let x_ij = amount shipped from supply node i to demand node j.

Min

x₁₁

x₁₂

x₁₃

x₂₁

x₂₂

x₂₃

s.t.

x₁₁

x₁₂

x₁₃

x₂₁

x₂₂

x₂₃

x₁₁

x₂₁

x₁₂

x₂₂

x₁₃

x₂₃

x₁₁, x₁₂, x₁₃, x₂₁, x₂₂, x₂₃ 0

Solve the linear program to determine the optimal solution. Enter "0" if your answer is zero.

Quantity

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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