A toy manufacturer ships toys from 3 plants to three regional distribution centers. The shipping costs per carload, plant capacities (in carloads) and demands (in carloads) are given below. Solve the problem, find the total transportation cost and show all your work clearly. .
Center 1 2 3
Plant
A 4 10 6
B 8 16 6
C 14 18 10
Plant Capacities Center Demands
A 100 1 200
B 300 2 300
C 300 3 200