(Solved): Consider the following network representation of a transportation problem. The supplies, demands, a ...

Consider the following network representation of a transportation problem. The supplies, demands, and transportation costs per unit are shown on the network. 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 $x_{11}=$ amount shipped from Jefferson City to Des Moines $x_{12}=$ amount shipped from Jefferson City to Kansas City $x_{13}=$ amount shipped from Jefferson City to St. Louis $x_{21}=$ amount shipped from Omaha to Des Moines $x_{22}=$ amount shipped from Omaha to Kansas City $x_{23}=$ amount shipped from Omaha to St. Louis Min s.t. From Jefferson City From Omaha To Des Moines To Kansas City To St. Louis From Omaha To Kansas City $x_{11^{\prime }},x_{12^{\prime }},x_{13^{\prime }}{x}_{21^{\prime }},x_{22^{\prime }}{x}_{23}\ge 0$ Solve the linear program to determine the optimal solution.