1 A company supplies goods to three customers, who each require 30 units. The company has two warehouses. Warehouse 1 has 40 units available, and warehouse 2 has 30 units available. The costs of shipping 1 unit from warehouse to customer are shown in Table 7. There is a penalty for each unmet customer unit of demand: With customer 1, a penalty cost of $90 is incurred; with customer 2, $80; and with customer 3, $110. TABLE 7 To From Customer 1 Customer 2 Customer 3 Warehouse 1 $15 $35 $25 Warehouse 2 $10 $50 $40 (a) Formulate a balanced transportation problem to minimize the sum of shortage and shipping cost. (1 points) (b) Use the northwest corner method to find a bfs. (1 points) (c) Use the transportation simplex to solve the problem. (3 points)