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Consider the following network representation of a transportation problem. 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 x11=amountshippedfromJeffersonCitytoDesMoinesx12=amountshippedfromJeffersonCitytoKansasCityx13=amountshippedfromJeffersonCitytoSt.Louisx21=amountshippedfromOmahatoDesMoinesx22=amountshippedfromOmahatoKansasCityx23=amountshippedfromOmahatoSt.Louis Min x11,x12,x13,x21,x22,x230 b) Solve the linear program to determine the optimal solution. Consider the following network representation of a transportation problem. 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 x11=amountshippedfromJeffersonCitytoDesMoinesx12=amountshippedfromJeffersonCitytoKansasCityx13=amountshippedfromJeffersonCitytoSt.Louisx21=amountshippedfromOmahatoDesMoinesx22=amountshippedfromOmahatoKansasCityx23=amountshippedfromOmahatoSt.Louis Min x11,x12,x13,x21,x22,x230 b) Solve the linear program to determine the optimal solution