DeMont Chemical Company manufactures fertilizer in three plants, referred to as P1, P2, and P3. The company ships its products from plants to two central DCs, designated D1 and D2, and then from the DCs to five regional warehouses, W1-W5. At the DCs, no demand occurs and no capacity limits exist. Demand is associated with the warehouses, and capacities exist at the plants. The system is described in the following two tables, one for each stage. The units for capacity and demand are pounds of fertilizer, and the unit costs are given per pound.
Table 1: From Plant to DC
| Plant | To DC | D1 Cost | D2 Cost | Capacity |
|-------|-------|---------|---------|----------|
| P1 | D1 | $1.36 | $1.28 | 2400 |
| P2 | D1 | $1.28 | $1.35 | 2750 |
| P3 | D1 | $1.68 | $1.55 | 2500 |
| P1 | D2 | $0.60 | $0.80 | 1250 |
| P2 | D2 | $0.36 | $0.56 | 1000 |
| P3 | D2 | $0.32 | $0.42 | 1600 |
Table 2: From DC to Warehouse
| DC | To Warehouse | W1 Cost | W2 Cost | W3 Cost | W4 Cost | W5 Cost | Capacity |
|-----|--------------|---------|---------|---------|---------|---------|----------|
| D1 | W1 | $0.60 | $0.80 | | | | 1250 |
| D1 | W2 | $0.36 | $0.56 | | | | 1000 |
| D1 | W3 | | | | | | |
| D1 | W4 | $0.32 | $0.42 | | | | 1600 |
| D1 | W5 | $0.44 | $0.40 | | | | 1750 |
| D2 | W1 | $0.72 | $0.55 | | | | 1500 |
| D2 | W2 | $0.60 | $0.80 | | | | 1250 |
| D2 | W3 | $0.36 | $0.56 | | | | 1000 |
| D2 | W4 | $0.32 | $0.42 | | | | 1600 |
| D2 | W5 | $0.44 | $0.40 | | | | 1750 |