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Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.
Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is not the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'B'. Can you explain this answer?
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Assertion (A): In distribution problem, unit cost of production as wel...
Both A and R are true and R is not correct explanation for A
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Assertion (A): In distribution problem, unit cost of production as wel...
Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.
Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.
Explanation:
The given assertion and reason are related to the distribution problem and the Vogel approximation method. Let's analyze each statement individually:
Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.
In a distribution problem, the goal is to minimize the total cost of distributing goods from multiple sources to multiple destinations. This involves considering both the unit cost of production at each source and the transportation cost from each source to each destination. The unit cost of production includes the cost of producing the goods at each source, while the transportation cost includes the cost of transporting the goods from each source to each destination. Therefore, Assertion (A) is true.
Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.
The Vogel approximation method is an iterative procedure used to solve transportation problems. It is based on the idea of considering the most unbalanced cells in the transportation matrix and making assignments accordingly. This method takes into account the differences in costs between the least and second least cost routes for each source-destination pair.
By considering the most unbalanced cells and assigning goods to the routes with the least cost difference, the Vogel approximation method can converge to the optimal solution more quickly compared to other methods. This reduces the number of iterations required to reach the optimal solution.
Therefore, Reason (R) is true and provides a correct explanation for Assertion (A).
Conclusion:
Both Assertion (A) and Reason (R) are individually true, and Reason (R) provides a correct explanation for Assertion (A). Hence, option B is the correct answer.
Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.
Explanation:
The given assertion and reason are related to the distribution problem and the Vogel approximation method. Let's analyze each statement individually:
Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.
In a distribution problem, the goal is to minimize the total cost of distributing goods from multiple sources to multiple destinations. This involves considering both the unit cost of production at each source and the transportation cost from each source to each destination. The unit cost of production includes the cost of producing the goods at each source, while the transportation cost includes the cost of transporting the goods from each source to each destination. Therefore, Assertion (A) is true.
Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.
The Vogel approximation method is an iterative procedure used to solve transportation problems. It is based on the idea of considering the most unbalanced cells in the transportation matrix and making assignments accordingly. This method takes into account the differences in costs between the least and second least cost routes for each source-destination pair.
By considering the most unbalanced cells and assigning goods to the routes with the least cost difference, the Vogel approximation method can converge to the optimal solution more quickly compared to other methods. This reduces the number of iterations required to reach the optimal solution.
Therefore, Reason (R) is true and provides a correct explanation for Assertion (A).
Conclusion:
Both Assertion (A) and Reason (R) are individually true, and Reason (R) provides a correct explanation for Assertion (A). Hence, option B is the correct answer.
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Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?
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Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. 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 Assertion (A): In distribution problem, unit cost of production as well as transportation cost is considered.Reason (R): The Vogel approximation method can reduce the number of iterations required to move from the initial assignment to the optimal solution.a)Both A and R are individually true and R is the correct explanation of A b)Both A and R are individually true but R is not the correct explanation of A c)A is true but R is false d)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?.
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