Develop a network representation of the distribution system (transportation problem). (Submit a file with a maximum size of 1 MB.)

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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### Transportation Problem: Distribution System

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:

#### Shipping Cost Table
| Port         | Customers         |                |              |              | Port Supply |
|--------------|-------------------|----------------|--------------|--------------|-------------|
|              | **Atlanta**       | **Dallas**     | **Columbus** | **Boston**   |             |
| **Philadelphia** | 2               | 6              | 6            | 2            | 5,000       |
| **New Orleans**  | 1               | 2              | 5            | 7            | 3,000       |
| **Demand**       | 1,400           | 3,200          | 2,000        | 1,400        |             |

- **Philadelphia:** Has a supply of 5,000 units.
- **New Orleans:** Has a supply of 3,000 units.

#### Shipping Costs (per case):
- From Philadelphia to:
  - Atlanta: 2
  - Dallas: 6
  - Columbus: 6
  - Boston: 2

- From New Orleans to:
  - Atlanta: 1
  - Dallas: 2
  - Columbus: 5
  - Boston: 7

#### Customer Demands:
- Atlanta: 1,400 units
- Dallas: 3,200 units
- Columbus: 2,000 units
- Boston: 1,400 units

### Task
Develop a network representation of the distribution system (transportation problem). (Submit a file with a maximum size of 1 MB.)

This entails creating a visual or mathematical model that reflects the shipping costs, supplies, and demands for efficient distribution planning.
Transcribed Image Text:### Transportation Problem: Distribution System 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: #### Shipping Cost Table | Port | Customers | | | | Port Supply | |--------------|-------------------|----------------|--------------|--------------|-------------| | | **Atlanta** | **Dallas** | **Columbus** | **Boston** | | | **Philadelphia** | 2 | 6 | 6 | 2 | 5,000 | | **New Orleans** | 1 | 2 | 5 | 7 | 3,000 | | **Demand** | 1,400 | 3,200 | 2,000 | 1,400 | | - **Philadelphia:** Has a supply of 5,000 units. - **New Orleans:** Has a supply of 3,000 units. #### Shipping Costs (per case): - From Philadelphia to: - Atlanta: 2 - Dallas: 6 - Columbus: 6 - Boston: 2 - From New Orleans to: - Atlanta: 1 - Dallas: 2 - Columbus: 5 - Boston: 7 #### Customer Demands: - Atlanta: 1,400 units - Dallas: 3,200 units - Columbus: 2,000 units - Boston: 1,400 units ### Task Develop a network representation of the distribution system (transportation problem). (Submit a file with a maximum size of 1 MB.) This entails creating a visual or mathematical model that reflects the shipping costs, supplies, and demands for efficient distribution planning.
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