Question: operation research.....ans wants in hurry Q4.(a) Suppose the initial basic feasible solutions for the following (3 x 3) transportation model with the given supply, demand

operation research.....ans wants in hurry Q4.(a)

operation research.....ans wants in hurry

Q4.(a) Suppose the initial basic feasible solutions for the following (3 x 3) transportation model with the given supply, demand and transportation cost per unit (RM) are given as follows: Destinations D 10 4 D Supply Si D. 9 10 7 12 N 6 12 Sources S2 8 3 5 9 10 9 3 10 S3 Demand 10 15 10 5 (i) Find the reduced cost for all the non-basic variables by assuming the reduced cost is derived using c, =c, -u, - vs. where c, is the cost per unit of flow from source i to destination ), while u, and v, (i=1, 2, 3:] =1, 2, 3) are the simplex multiplier. (5 marks) (ii) Based on the answer in part (i), discuss the effects of reduced cost on the objective function's value if a non-basic variable is made to become basis. Note: no need to find the optimal solution, you just have to calculate the cost for the next iteration that related to your discussion. (11 marks)

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