Ethan Steel, Inc. has three factories that manufacture steel components for three different rail projects located at three different sites. They want to determine how many steel components must be transported from each factory to each project site. The demand for the steel components for the three projects, A, B and C, are 2500, 3000 and 4500, respectively. The production and shipping details are as below: Production details: Factory Maximum capacity 1 3000 2 5000 3 3000 Shipping details (with per-unit shipping cost in dollars): Project Factory A B C 1 7 8 2 2 6 5 4 3 1 9 6 Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)
Ethan Steel, Inc. has three factories that manufacture steel components for three different rail projects located at three different sites. They want to determine how many steel components must be transported from each factory to each project site. The demand for the steel components for the three projects, A, B and C, are 2500, 3000 and 4500, respectively. The production and shipping details are as below: Production details: Factory Maximum capacity 1 3000 2 5000 3 3000 Shipping details (with per-unit shipping cost in dollars): Project Factory A B C 1 7 8 2 2 6 5 4 3 1 9 6 Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. (Do NOT solve the model.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Ethan Steel, Inc. has three factories that manufacture steel components for three different rail projects located at three different sites. They want to determine how many steel components must be transported from each factory to each project site. The demand for the steel components for the three projects, A, B, and C, are 2500, 3000, and 4500, respectively. The production and shipping details are as below:
**Production Details:**
| Factory | Maximum Capacity |
|---------|------------------|
| 1 | 3000 |
| 2 | 5000 |
| 3 | 3000 |
**Shipping Details (with per-unit shipping cost in dollars):**
| Factory | Project A | Project B | Project C |
|---------|-----------|-----------|-----------|
| 1 | 7 | 8 | 2 |
| 2 | 6 | 5 | 4 |
| 3 | 1 | 9 | 6 |
Develop a linear programming optimization model to determine the distribution plan (from factories to projects) that minimizes the total transportation cost. *(Do NOT solve the model.)*
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