Question: Question 5 (20 marks) Consider the transportation problem having the following parameter table: Transportation Cost (S) per unit Destination Source D1 Si 7 3 S2

Question 5 (20 marks) Consider the transportation

Question 5 (20 marks) Consider the transportation problem having the following parameter table: Transportation Cost (S) per unit Destination Source D1 Si 7 3 S2 4 7 5 S3 2 4 9 Demand 3 2 4 D2 D3 8 4 . 2 1 6 5 Supply 1 9 4 (a) Use northwest corner rules to find the initial solution. (6) Prove that the initial solution from part (a) is not the optimal solution. (c) Use the stepping stone method to find out the 1st iteration. (d) Formulate this problem as a linear program. Rubrics and Marking: The total marks of Question 5 are 20. The distribution of marks is: Part a: Totally 3 marks will be given to correctly show all the calculation steps and figure out the initial solution. Part b: Totally 4 marks will be given to correctly show all the calculation steps and proof. Parte: Totally 9 marks will be given to correctly show all the calculation steps and figure out the 1st iteration. Part d: Totally 4 marks will be given to the correct

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