Question: Question 3 (25%) Consider the transportation problem having the following parameter table: Transportation Cost ($) per unit Destination Source B1 B2 B3 B4 Supply A1

Question 3 (25%) Consider the transportation

Question 3 (25%) Consider the transportation problem having the following parameter table: Transportation Cost ($) per unit Destination Source B1 B2 B3 B4 Supply A1 3 11 3 10 10 A2 1 9 2 8 4 A3 7 4 10 5 6 Demand 3 6 5 6 (a) Use northwest corner rules to find the initial solution. (7 marks) (b) Prove that the initial solution from part (a) is not the optimal solution. (3 marks) (c) Use the stepping stone method to find out the 1st iteration. (9 marks) (d) Formulate this problem as a linear program. (6 marks)

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