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In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined by
- a)finding the largest unit cost in each row or column.
- b)finding the sum of the unit costs in each row or column.
- c)finding the difference between the two lowest unit costs in each row and column.
- d)finding the difference between the two highest unit costs in each row and column.
Correct answer is option 'D'. Can you explain this answer?
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In applying Vogel’s approximation method to a profit maximation ...
The concept of Vogel’s Approximation Method can be well understood through an illustration given below :
The difference between two least cost cells are calculated for each row and column, which can be seen in the iteration given for each row and column.
Most Upvoted Answer
In applying Vogel’s approximation method to a profit maximation ...
's approximation method, the first step is to identify the row and column with the smallest cost in the transportation table. This is called the minimum cost cell.
Once the minimum cost cell is identified, the maximum possible amount is allocated to this cell, either based on the available supply or demand. The allocated amount is then subtracted from the respective supply or demand, and the process is repeated until all supply and demand values are satisfied.
In case of tie for the minimum cost cells, the tie-breaking rule can be used to determine which cell to allocate first. One common tie-breaking rule is to prioritize allocating to the cell with the highest opportunity cost. The opportunity cost is calculated by subtracting the second smallest cost in the same row or column from the smallest cost.
After allocating the maximum possible amount to the minimum cost cell, the row or column with zero supply or demand is eliminated from consideration. The process continues until all supply and demand values are satisfied.
It is important to note that Vogel's approximation method may not always result in an optimal solution, but it is a relatively simple and efficient method for initial allocation in transportation problems.
Once the minimum cost cell is identified, the maximum possible amount is allocated to this cell, either based on the available supply or demand. The allocated amount is then subtracted from the respective supply or demand, and the process is repeated until all supply and demand values are satisfied.
In case of tie for the minimum cost cells, the tie-breaking rule can be used to determine which cell to allocate first. One common tie-breaking rule is to prioritize allocating to the cell with the highest opportunity cost. The opportunity cost is calculated by subtracting the second smallest cost in the same row or column from the smallest cost.
After allocating the maximum possible amount to the minimum cost cell, the row or column with zero supply or demand is eliminated from consideration. The process continues until all supply and demand values are satisfied.
It is important to note that Vogel's approximation method may not always result in an optimal solution, but it is a relatively simple and efficient method for initial allocation in transportation problems.
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In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer?
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In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer?.
In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In applying Vogel’s approximation method to a profit maximation problem, row and column penalties are determined bya)finding the largest unit cost in each row or column.b)finding the sum of the unit costs in each row or column.c)finding the difference between the two lowest unit costs in each row and column.d)finding the difference between the two highest unit costs in each row and column.Correct answer is option 'D'. Can you explain this answer?.
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