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 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 s.t. From Jefferson City From Omaha To Des Moines To Kansas City To St. Louis From Omaha To Kansas City x11,x12,x13x21,x22x230 Solve the linear program to determine the optimal solution