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.                Table 4: Problem 1.10a Plant/Warehouse        Albany    Portsmouth Augusta                            7            5 Tupper Lake                      3            4                                  Table 5: Problem 1.10b Warehouse/Distributor     Boston    New York    Philadelphia Albany                                  8                5                  7 Portsmouth                          5                6                 10 a. Draw the network representation of the Adirondack Paper Mills problem. b. Formulate the Adirondack Paper Mills problem as a linear programming problem. c. Solve the linear program to determine the minimum cost shipping schedule for the problem.

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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.

               Table 4: Problem 1.10a
Plant/Warehouse        Albany    Portsmouth
Augusta                            7            5
Tupper Lake                      3            4

 

                               Table 5: Problem 1.10b
Warehouse/Distributor     Boston    New York    Philadelphia
Albany                                  8                5                  7
Portsmouth                          5                6                 10

a. Draw the network representation of the Adirondack Paper Mills problem.
b. Formulate the Adirondack Paper Mills problem as a linear programming
problem.
c. Solve the linear program to determine the minimum cost shipping schedule for the problem.

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