4. A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and shipping costs per case from each port to each customer are as follows: Customers Port Philadelphia New Orleans Demand Atlanta 2 1 1400 Dallas 6 2 3200 Columbus 6 5 2000 Boston 7 1400 c. Solve the linear program to determine the optimal solution. d. Discuss the distributions from the Port to the customers. Port Supply 5000 3000 a. Develop a network representation of the distribution system (transportation problem). b. Develop a linear programming model for the problem; be sure to define the variables in your model.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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4. A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one
product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next
planning period, the supplies at each port, customer demands, and shipping costs per case
from each port to each customer are as follows:
Customers
Port
Philadelphia
New Orleans
Demand
Atlanta
2
1
1400
Dallas
6
2
3200
Columbus
6
5
2000
Boston
2
7
1400
Port Supply
5000
3000
a. Develop a network representation of the distribution system (transportation problem).
b. Develop a linear programming model for the problem; be sure to define the variables in
your model.
c. Solve the linear program to determine the optimal solution.
d. Discuss the distributions from the Port to the customers.
Transcribed Image Text:4. A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and shipping costs per case from each port to each customer are as follows: Customers Port Philadelphia New Orleans Demand Atlanta 2 1 1400 Dallas 6 2 3200 Columbus 6 5 2000 Boston 2 7 1400 Port Supply 5000 3000 a. Develop a network representation of the distribution system (transportation problem). b. Develop a linear programming model for the problem; be sure to define the variables in your model. c. Solve the linear program to determine the optimal solution. d. Discuss the distributions from the Port to the customers.
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