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Question 4 (25 marks) (a) Using the following transportation model shown in Table Q4(a) below: Table Q4(a): Transportation Model Destination 1 2 3 Supply 1 8 2 6 3 4 Demand 5 5 8 Source 5 5 i) Find the starting solution by using the northwest-conner method. (3 marks) ii) Assume that the values of the multipliers associated with the starting solution are given as: 4 = 0, uz =1, uz = -3, v1 = 1, v2 = 2, and v; = 5, find the associated objective value. (7 marks) (b) In the transportation model shown in Table Q4(b), determine the optimum solution and the associate transportation cost. (15 marks) Table Q4(b): Transportation Model Destination 2 3 1 $1 $2 $4 Source 2 $0 $4 $3 3 $3 $7 $5 Demand 10 6 10 Supply 7 10 9