J & K Timber Supply Company ships oak flooring from three of its mills in Jodhpur, Bhopal, and Nagpur to three warehouses in Chennai, New Delhi, and Chandigarh. Shipping costs in $ per ton, mill capacities, and demand requirements from the warehouses 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 Chandigarh Mill Capacity (in tons) From Chennai New Delhi Jodhpur Bhopal Nagpur Warehouse Demand (in tons) $5 $4 30 $5 4 45 5 4 35 35 35 40 110