1.10 Adirondack Paper Mills, Inc. operates paper plants in Augusta, Maine, and Tupper Lake, New York. Warehouse facilities are located in Albany, New York, and Portsmouth, New Hampshire. Distributors are located in Boston, New York, and Philadelphia. The Augusta plant has a capacity of 300 units, and the Tupper Lake plant has a capacity of 100 units. Boston has a demand of 150 units, New York has a demand of 100 units, and Philadelphia has a demand of 150 units. The unit transportation costs (in dollars) for shipments from the two plants to the two warehouses are presented in Table 4 and those from the two warehouses to the three distributors are presented in Table 5. Draw the network representation of the Adirondack Paper Mills problem. Formulate the Adirondack Paper Mills problem as a linear programming problem. Solve the linear program to determine the minimum cost shipping schedule for the problem.
1.10 Adirondack Paper Mills, Inc. operates paper plants in Augusta, Maine, and Tupper Lake, New York. Warehouse facilities are located in Albany, New York, and Portsmouth, New Hampshire. Distributors are located in Boston, New York, and Philadelphia. The Augusta plant has a capacity of 300 units, and the Tupper Lake plant has a capacity of 100 units. Boston has a demand of 150 units, New York has a demand of 100 units, and Philadelphia has a demand of 150 units. The unit transportation costs (in dollars) for shipments from the two plants to the two warehouses are presented in Table 4 and those from the two warehouses to the three distributors are presented in Table 5. Draw the network representation of the Adirondack Paper Mills problem. Formulate the Adirondack Paper Mills problem as a linear programming problem. Solve the linear program to determine the minimum cost shipping schedule for the problem.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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1.10 Adirondack Paper Mills, Inc. operates paper plants in Augusta, Maine, and Tupper Lake, New York. Warehouse facilities are located in Albany, New York, and Portsmouth, New Hampshire. Distributors are located in Boston, New York, and Philadelphia.
The Augusta plant has a capacity of 300 units, and the Tupper Lake plant has a capacity of 100 units.
Boston has a demand of 150 units, New York has a demand of 100 units, and Philadelphia has a demand of 150 units.
The unit transportation costs (in dollars) for shipments from the two plants to the two warehouses are presented in Table 4 and those from the two warehouses to the three distributors are presented in Table 5.
- Draw the network representation of the Adirondack Paper Mills problem.
- Formulate the Adirondack Paper Mills problem as a linear programming problem.
- Solve the linear program to determine the minimum cost shipping
schedule for the problem.
Transcribed Image Text:Table 4: Problem 1.10a
Plant/Warehouse Albany Portsmouth
Augusta
7
Tupper Lake
3
4
Table 5: Problem 1.10b
Warehouse/Distributor Boston
New York Philadelphia
Albany
8.
5
7
Portsmouth
10
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