Refer to problem 5. Reformulate that transportation problem as a linear programming model.

Data from problem 5

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:

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