QUESTION 2 Depot W Depot X Depot Y Depot Z Stock Supplier A 180 110 130 290 14 Supplier B 190 250 150 280 16 Supplier C 240 270 190 120 20 Demand 11 15 14 10 50 a. Is this a balanced or unbalanced transportation problem? Explain. b. Use the north-west corner method to find an initial solution to the problem above. Calculate the total cost. c. Find an initial basic feasible solution using the least cost method. QUESTION 3 A B C Supply X 9 11 10 40 Y 10 8 12 60 7 12 7 8 50 Demand 50 40 30 Three outlets A, B and C are supplied by three suppliers X, Y and Z. The table shows the cost, in pounds, of transporting each unit, the number of units required at each outlet and the number of units available at each supplier. a. Explain why it is necessary to add a dummy demand point in order to solve this problem. b. Add a dummy demand point and appropriate costs to the table