Transportation Problem The following table shows the production capacity, unit production cost, and unit shipping cost from three plants at St. Louis, Evansville, and Bloomington to warehouses at Terre Haute, Indianapolis, Fort Wayne, and South Bend. We need to minimize the total cost. C. Write the objective function.SourceDestinationPlant CityProduction Capaticy UnitsUnit Production CostTerre HauteIndianapolisForst WayneSouth BendSt. Louis1001086129Evansville1101255108Bloomington1201532910Demand (Units)150604545 Solution Total Cost as per Above Allotment. =((25x10)+(45x10))+((90x12)+(20x12))+((60x15)+(60x15))=3820/-.