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= amount shipped from Jefferson City to Des Moines x12= amount shipped from Jefferson City to Kansas City x13= amount shipped from Jefferson City to st. Louid x21 = amount shipped from Omaha to Des Moines x22= amount shipped from Omaha to Kansas City x23= amount shipped from Omaha to St. Louts The supplies, demands, and transportation costs per unit are shown on the network. (a) Develop a linear programming model for this problem, bo sure to define the variables in your model. Let x11= amount shipped from Jefferson City to Des Moines x12 amount shipped from Jefferson city to Kansas city x13= amount shipped from Jefferson City to st. Louis x21= amount shipped from Omaha to Des Moines x22= amount shipped from Omaha to Kansas City x23= amount shipped from Omaha to St. Louis Min W111+1 x11+ 113+ s.t. x11 *i1 x13 x11,x12,x13,x21,x22x230 (b) Solve the inear 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= amount shipped from Jefferson City to Des Moines x12= amount shipped from Jefferson City to Kansas City x13= amount shipped from Jefferson City to st. Louid x21 = amount shipped from Omaha to Des Moines x22= amount shipped from Omaha to Kansas City x23= amount shipped from Omaha to St. Louts The supplies, demands, and transportation costs per unit are shown on the network. (a) Develop a linear programming model for this problem, bo sure to define the variables in your model. Let x11= amount shipped from Jefferson City to Des Moines x12 amount shipped from Jefferson city to Kansas city x13= amount shipped from Jefferson City to st. Louis x21= amount shipped from Omaha to Des Moines x22= amount shipped from Omaha to Kansas City x23= amount shipped from Omaha to St. Louis Min W111+1 x11+ 113+ s.t. x11 *i1 x13 x11,x12,x13,x21,x22x230 (b) Solve the inear program to determine the optimal solution