A trucking company has to move 120 tons of concrete from three supply sources (A, B, and C) to three road construction project sites (X, Y, and Z). Shipping costs in $ per truck load, supply capacities, and demand requirements from the project sites are given in the following table:

1. Use the northwest corner rule to find an initial basic feasible solution. What is the total cost?

2. Use the matrix least cost method to find an initial basic feasible solution. What is the total cost?

3. Use the stepping stone method to find the optimal solution. What is the total cost?

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To Capacity (in truck loads) From A 40 $6 21 $1 31 $1 21 45 35 11 Demand (in truckloads) 40 50 30 120