A product is produced at three plants and shipped to four warehouses. Production costs per unit is $50 at Plant A, $20 at Plant B, and $30 at Plant C. The transportation costs per unit, plant capacity, and warehouse demand are given as follows: Warehouse 1 Warehouse 2 Warehouse 3 Warehouse 4 Capacity Plant A 12 9 13 12 300 Plant B 8 14 7 11 300 Plant C 14 10 13 10 400 Demand 200 350 150 300 What is the minimum total transportation and production costs in satisfying the demand of each warehouse and capacity of each plant?