International Paper Company has four warehouses at different cities: Buffalo, De

Question

International Paper Company has four warehouses at different cities: Buffalo, Detroit, Pittsburgh and Raleigh. They provide paper to five book publishers in Boston, New York, Chicago, Indianapolis and Memphis.


The costs of shipping one box of paper, the amount of paper (in boxes) available at each warehouse, and the amount of paper ordered (in boxes) by each publisher are found in the table below:


From / To Boston New York Chicago Indianapolis Memphis Supply Buffalo 7 5 9 10 11 1400 Detroit 10 9 8 8 6 500 Pittsburgh 9 7 7 8 8 1400 Raleigh 6 5 9 8 7 800 Demand 700 900 500 1400 600



Find the amounts to Ship from the following Warehouses to Publishers with the goal of Minimizing Transportation Costs


Amount Shipped from
Buffalo to Boston =
Buffalo to New York =
Detroit to Indianapolis =
Detroit to Memphis=
Pittsburgh to Chicago=
Pittsburgh to Indianapolis=
Raleigh to Boston=
Raleigh to Indianapolis =


The Total Shipping Costs =   (Leave off $ Sign and Commas )
Hint: The Cost is between  27100 and 28100


Note: When you check your answer, if the Total Shipping Cost is Correct and all other answers are wrong, you may have found another Optimal Solution. %u2026. Please let the instructor know for possible full credit. International Paper Company has four warehouses at different cities: Buffalo, Detroit, Pittsburgh and Raleigh. They provide paper to five book publishers in Boston, New York, Chicago, Indianapolis and Memphis.


The costs of shipping one box of paper, the amount of paper (in boxes) available at each warehouse, and the amount of paper ordered (in boxes) by each publisher are found in the table below:


From / To Boston New York Chicago Indianapolis Memphis Supply Buffalo 7 5 9 10 11 1400 Detroit 10 9 8 8 6 500 Pittsburgh 9 7 7 8 8 1400 Raleigh 6 5 9 8 7 800 Demand 700 900 500 1400 600



Find the amounts to Ship from the following Warehouses to Publishers with the goal of Minimizing Transportation Costs


Amount Shipped from
Buffalo to Boston =
Buffalo to New York =
Detroit to Indianapolis =
Detroit to Memphis=
Pittsburgh to Chicago=
Pittsburgh to Indianapolis=
Raleigh to Boston=
Raleigh to Indianapolis =


The Total Shipping Costs =   (Leave off $ Sign and Commas )
Hint: The Cost is between  27100 and 28100


Note: When you check your answer, if the Total Shipping Cost is Correct and all other answers are wrong, you may have found another Optimal Solution. %u2026. Please let the instructor know for possible full credit. International Paper Company has four warehouses at different cities: Buffalo, Detroit, Pittsburgh and Raleigh. They provide paper to five book publishers in Boston, New York, Chicago, Indianapolis and Memphis.


The costs of shipping one box of paper, the amount of paper (in boxes) available at each warehouse, and the amount of paper ordered (in boxes) by each publisher are found in the table below:


From / To Boston New York Chicago Indianapolis Memphis Supply Buffalo 7 5 9 10 11 1400 Detroit 10 9 8 8 6 500 Pittsburgh 9 7 7 8 8 1400 Raleigh 6 5 9 8 7 800 Demand 700 900 500 1400 600



Find the amounts to Ship from the following Warehouses to Publishers with the goal of Minimizing Transportation Costs


Amount Shipped from
Buffalo to Boston = From / To Boston New York Chicago Indianapolis Memphis Supply Buffalo 7 5 9 10 11 1400 Detroit 10 9 8 8 6 500 Pittsburgh 9 7 7 8 8 1400 Raleigh 6 5 9 8 7 800 Demand 700 900 500 1400 600
Buffalo to New York =
Detroit to Indianapolis =
Detroit to Memphis=
Pittsburgh to Chicago=
Pittsburgh to Indianapolis=
Raleigh to Boston=
Raleigh to Indianapolis =


The Total Shipping Costs =   (Leave off $ Sign and Commas )
Hint: The Cost is between  27100 and 28100


Note: When you check your answer, if the Total Shipping Cost is Correct and all other answers are wrong, you may have found another Optimal Solution. %u2026. Please let the instructor know for possible full credit. From / To Boston New York Chicago Indianapolis Memphis Supply Buffalo 7 5 9 10 11 1400 Detroit 10 9 8 8 6 500 Pittsburgh 9 7 7 8 8 1400 Raleigh 6 5 9 8 7 800 Demand 700 900 500 1400 600

Explanation / Answer

the shipping plan would be as follows:

Buffalo to New York = 900

Cost = 5*900 = 4500

Buffalo to Chicago = 500

Cost = 9*500 = 4500

Detroit to Memphis = 500

Cost = 6*500 = 3000

Pittsburgh to Indianapolis = 1400

Cost = 8*1400 = 11200

Raleigh to Boston = 700

Cost = 6 * 700 = 4200

Raleigh to Memphis = 100

Cost = 7*100 = 700

Total Cost = 28100

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