Question: a) Dekmal Beauty Sdn. Bhd distributing its goods from three factories (namely A, B, and C) to three distribution centers (namely X, Y, and 2).

a) Dekmal Beauty Sdn. Bhd distributing its goods

a) Dekmal Beauty Sdn. Bhd distributing its goods from three factories (namely A, B, and C) to three distribution centers (namely X, Y, and 2). Factory A, B, and C can supply up to 240 units, 140 units, and 90 units respectively. Based on the forecasted data, distribution centers X, Y, and Z are asking for 140 units, 190 units, and 140 units respectively. The unit transportation cost from each factory to all distribution centers are given in Table Q3(a)." Table Q3(a) Distribution Center Factory Y Z 5 7 17 11 13 7 11 9 A 7 B (5) i. Construct the transportation tableau. Use the minimum cost method to find an initial feasible solution. Is the problem degenerate? What is the total cost for the initial feasible solution? ii. Use the transportation simplex method to find an optimal solution. What is the total cost for the optimal solution? iii. Using your solution to part (ii), identify an alternatif optimal solution (7) (3)

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