A company manufactures its product in three plants A, B, and C and transports its product to four warehouses, where the product is repackaged to carry a differnt "designer" label. The production capacity in plant A is 200 units and the unit production cost is $5, in plant B 300 units and a cost of $6 per unit, and in plant C 100 units at a cost of $3 per unit. Each warehouse requires 100 units of the product. The shipping costs and repackaging costs (per unit) are given in the table below:
warehouse 1 warehouse 2 warehouse 3 warehouse 4
Shipping cost from A 10 20 15 25
Shipping cost from B 5 15 10 20
Shipping cost from C 12 7 4 10
Repackaging cost at the warehouse 2 5 3 4
Formulate a Balanced Transportation Problem to minimize the total cost of meeting all demands. Give your formulation in terms of a cost and requirement table.