(50 pts) A company supplies goods to three customers, who each require 40 thousand units. The company has two warehouses. Warehouse 1 has 65 thousand units available, and warehouse 2 has 55 thousand units available. The costs of shipping 1 unit from warehouse to the customer are shown in the table below. a. Formulate a balanced transportation problem to minimize the total cost. b. Use the North West Corner method to find a basic feasible solution and calculate total cost (Z) for that solution c. Use Vogel's method to find a basic feasible solution and calculate total cost (Z) for that solution. d. Use Minimum-coast method to find a basic feasible solution and calculate total cost (Z) for that solution. Customer Customer 1 Warehouse / $15 2 $35 Customer 3 $25 Warehouse 2 $10 SSO $35