1. The distribution system for the Herman Company consists of three...

1. The distribution system for the Herman Company consists of three plants, two warehouses, and four customers. Plant capacities and shipping costs per unit (in $) from each plant to each warehouse are as follows: Refer to attachment Customer demand and shipping costs per unit (in $) from each warehouse to each customer are: Refer to attachment - Develop a network representation of this problem. - Formulate a linear programming model of the problem. - Solve the linear program to determine the optimal shipping plan.

1. The distribution system for the Herman Company consists of three plants, two
warehouses, and four customers. Plant capacities and shipping costs per unit (in $)
from each plant to each warehouse are as follows:
Customer demand and shipping costs per unit (in $) from each warehouse to each customer
are:
Develop a network representation of this problem.
Formulate a linear programming model of the problem.
Solve the linear program to determine the optimal shipping plan.
Answer:
1-4: 450
2-5: 600
3-4: 150
Warehouse
Plant 1 2 Capacity
1 4 7 450
2 8 5 600
3 5 6 380
Customer
Warehouse 1 2 3 4
1 6 4 8 4
2 3 6 7 7
Demand 300 300 300
300