Transportation Problem (35 Points, Note: Please upload your answers below or use the text eld in providing your answers) The Cost-Less Corp. supplies its four retail outlets from its four plants. The shipping cost per shipment from each plant to each retail outlet is given below. Retail Outlet Plant Outlet 1 Outlet 2 Outlet 3 Outlet 4 Plants 1,2, 3, and 4 make 10, 20, 20, and 10 shipments per month, respectively. Retail outlets 1, 2, 3, and 4 need to receive 10, 10, 20, and 20 shipments per month, respectively. The distribution manager, Randy Smith, now wants to determine the best plan for how many shipments to send from each plant to the respective retail outlets each month. Randy's objective is to minimize the total shipping cost. a) Formulate this problem as a transportation problem by constructing the appropriate transportation tableau. (5 Points) b) Use the Northwest-Corner Method to construct a basic feasible solution and determine the total shipping cost of this solution. (8 Points] c) Use the Least-Cost Method to construct a basic feasible solution and determine the total shipping cost of this solution. (8 Points) d) Use the Vogel's Approximation Method to construct a basic feasible solution and determine the total shipping cost of this solution. (12 Points) e) Compare your results of the three basic feasible solution. Which method is associated with the lowest shipping cost? (2 Points)