Question: In a 3x3 transportation problem, let xi be the amount shipped from Source i to Destination and ay be the corresponding transportation cost per unit.

In a 3x3 transportation problem, let xi be the amount shipped from Source i to Destination and ay be the corresponding transportation cost per unit. The amounts of supply at sources 1,2, and 3 are 20, 35, and 85 units, respectively. The amounts of demands at destinations 1,2, and 3 are 15, 45, and 80 units, respectively. Assume that the starting Basic Feasible Solution found using North-West method is found to be the optimum solution, and the associated values of simplex multipliers are given as U = 0, Uz= 6, Us=5, V =4, Vz=5, and V;= 7. Find the associated optimal cost. Demand 1 Demand 2 5 Demand3 U 4 Source 1 15 11 Source 2 35 10 12 Source 3 un 80 5

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