Please solve the question in detail and upload the solution as fast as possible.

Q.3 (40 marks) GrainyDay Transport Company ships truckloads of wheat grain from three warehouses to three mills. The capacities at the warehouses are 25, 65, and 40 truckloads, respectively. The demand at each mill is 35, 73, and 56 truckloads, respectively. The shipping cost of sending a truckload for each warehouse to each mill is given below: Mills A Warehouses B 1 15 4 12 2 8 5 6 3 10 13 16 The company is interested in determining the optimal shipment plan. a) Use North West Corner Rule (NWCR) to determine the Basic Feasible solution for the above Transportation problem. Clearly show the solution along with the Total cost of implementing this solution. (10 marks) b) Discuss why the obtained solution is a Corner Point Solution. Also comment on the Degeneracy of the obtained solution. (10 marks) c) Use Vogel Approximation Method (VAM) to determine the Basic Feasible solution for the above Transportation problem. Clearly show the solution along with the Total cost of implementing this solution. (10 marks) d) Start with the solution (found in part-a) and perform one complete iteration of Transportation Simplex Method to determine the next solution, and value of the Objective Function. Clearly show all working. (10 marks)