Adirondack Paper Mills, Inc., has paper plants in Augusta, Maine and Tupper Lake, New York. Warehouse facilities are located in Albany, New York and Portsmouht, New Hampshire. Distributors are located in Boston, New York and Philadelphia. The plant capacities and distributor demands for next month are as follows:
|
Plant
|
Capacity (units)
|
|
Distributor
|
Demand (units)
|
|
Augusta
|
300
|
|
Boston
|
150
|
|
Tupper Lake
|
100
|
|
New York
|
100
|
|
|
|
|
Philadelphia
|
150
|
The unit transportation costs ($) for shipments from the two plants to the two warehouses and from the two warehouses to the three distribution centers are as follows:
|
|
Warehouse
|
|
|
Plant
|
Albany
|
Portsmouth
|
|
|
Augusta
|
7
|
5
|
|
|
Tupper Lake
|
3
|
4
|
|
|
|
|
|
|
|
|
Distributor
|
|
Warehouse
|
Boston
|
New York
|
Philadelphia
|
|
Albany
|
8
|
5
|
7
|
|
Portsmouth
|
5
|
6
|
10
|
Formulate the Adirondack Paper Mills problem as a linear programming problem. What is the minimum-cost shipping schedule?