Find an initial solution to the following transportation problem. From X Y z Demand $10 $17 $20 80 B $19 $13 $18 120 $12 $9 $14 60 Supply 150 100 50 Based on the given demand and supply, the given transportation problem is unbalanced Before finding the initial solution, a dummy destination should be introduced. The starting solution using northwest-corner method is: (Note: You must enter a shipment in every cell, even if the shipment is 0.) To From A B C Dummy Supply $10 $19 $12 X 150 80 70 To 0 $17 $13 $9 0 IY 50 To 50 100 0 $200 $18 $14 ON 50 N 40 0 80 0 120 10 60 Demand a) The total cost of the initial solution developed using the northwest-corner method = $ 3370. The starting solution using the intuitive lowest-cost method is: (Note: You must enter a shipment in every cell, even if the shipment is 0.) From A B Dummy Supply $10 $19 $12 0 X 80 30 150 0 40 $171 $131 $9) 0 0 40 60 0 100 $20 S18 $141 Z 50 0 50 120 0 60 0 Demand 80 b) The total cost of the initial solution developed using the intuitive lowest-cost method = $ 3330 C) The total cost of the optimal solution = $ 3180