TABLE 73 20 11 6. 9. 10 2 10 18 7 4 1 15 3 12 12 3.
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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![**Exercise 12**: Use the northwest corner method, the minimum-cost method, and Vogel’s method to find basic feasible solutions to the transportation problem in Table 73.
*Explanation for Educational Context:*
In this exercise, you'll learn to apply three different methods to solve transportation problems. These methods are:
1. **Northwest Corner Method**: A technique used to generate an initial feasible solution starting from the top-left (northwest) corner of the transportation table.
2. **Minimum-Cost Method**: This method emphasizes selecting the variable with the lowest transportation cost first to generate an initial feasible solution.
3. **Vogel’s Approximation Method**: A more sophisticated method that considers the penalty costs for not selecting certain routes to find a feasible solution.
These methods provide basic feasible solutions essential for optimizing and ultimately solving transportation problems efficiently.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0d93ea1-4247-45ef-b3fa-07b7c1a6a22c%2Fa3d7ccb0-6d68-4ffe-8848-6fd2cee2c56b%2F0swe75_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise 12**: Use the northwest corner method, the minimum-cost method, and Vogel’s method to find basic feasible solutions to the transportation problem in Table 73.
*Explanation for Educational Context:*
In this exercise, you'll learn to apply three different methods to solve transportation problems. These methods are:
1. **Northwest Corner Method**: A technique used to generate an initial feasible solution starting from the top-left (northwest) corner of the transportation table.
2. **Minimum-Cost Method**: This method emphasizes selecting the variable with the lowest transportation cost first to generate an initial feasible solution.
3. **Vogel’s Approximation Method**: A more sophisticated method that considers the penalty costs for not selecting certain routes to find a feasible solution.
These methods provide basic feasible solutions essential for optimizing and ultimately solving transportation problems efficiently.
![The image presents "Table 73," which is a structured grid filled with numbers within different sections. The table consists of three rows and four columns. Each section of the grid contains two numbers organized in a specific pattern with larger numbers enclosed in boxes.
### Table Structure:
- **Row 1:**
- Column 1: 20
- Column 2: 11
- Column 3: 3
- Column 4: 6
- **Row 2:**
- Column 1: 5
- Column 2: 9
- Column 3: 10
- Column 4: 2
- **Row 3:**
- Column 1: 18
- Column 2: 7
- Column 3: 4
- Column 4: 1
### Labels on the Axes:
- The horizontal axis at the bottom has labels: 3, 3, 3, and 12, each corresponding to the width of a column.
- The vertical axis on the right side has labels: 5, 10, and 15, each corresponding to the height of a row.
This layout may represent various mathematical or statistical data analysis tools, where the intersection of each row and column gives specific values relevant for interpreting the tabulated data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0d93ea1-4247-45ef-b3fa-07b7c1a6a22c%2Fa3d7ccb0-6d68-4ffe-8848-6fd2cee2c56b%2F9s9n7n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents "Table 73," which is a structured grid filled with numbers within different sections. The table consists of three rows and four columns. Each section of the grid contains two numbers organized in a specific pattern with larger numbers enclosed in boxes.
### Table Structure:
- **Row 1:**
- Column 1: 20
- Column 2: 11
- Column 3: 3
- Column 4: 6
- **Row 2:**
- Column 1: 5
- Column 2: 9
- Column 3: 10
- Column 4: 2
- **Row 3:**
- Column 1: 18
- Column 2: 7
- Column 3: 4
- Column 4: 1
### Labels on the Axes:
- The horizontal axis at the bottom has labels: 3, 3, 3, and 12, each corresponding to the width of a column.
- The vertical axis on the right side has labels: 5, 10, and 15, each corresponding to the height of a row.
This layout may represent various mathematical or statistical data analysis tools, where the intersection of each row and column gives specific values relevant for interpreting the tabulated data.
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