A company has three manufacturing plants P, P2, and P3 (with capacities 250, 310, and 400, respectively) that supply refrigerators to five warehouses W, W, W3, W4, and W5 (with demands 200, 100, 300, 280, and 80 respectively). The table given below represents transportation costs from each plant to each warehouse. Obtain the optimal solution of transporting goods from three plants to the five distribution centers and compute the corresponding total cost. Costs P P P3 W 10 19 21 W 15 15 11 W3 22 10 13 W4 20 9 6 W5 0 4 0