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Consider the following statements:
1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.
2. Transportation problem is a special case of a linear programming problem.
3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.
1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.
2. Transportation problem is a special case of a linear programming problem.
3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.
Which of these statements is/are correct?
- a)1,2 and 3
- b)1 and 2 only
- c)2 and 3 only
- d)2 only
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statements:1. For the application of optimally ...
The correct answer is option C, which states that statement 2 and statement 3 are correct. Let's discuss each statement in detail:
1. For the application of optimally test in the case of a transportation model, the number of allocations should be equal to (m x n) where m is the number of rows and n is the number of columns.
This statement is incorrect. In the transportation model, the number of allocations should be equal to the number of supply points (m) plus the number of demand points (n) minus 1. This is because one allocation is always redundant in order to satisfy the conservation of supply and demand.
2. Transportation problem is a special case of a linear programming problem.
This statement is correct. The transportation problem can be formulated as a linear programming problem and is a special case of it. It involves minimizing the total cost of transporting goods from a set of sources to a set of destinations, subject to constraints on the supply and demand at each location. The objective and constraints can be expressed in linear form, making it a linear programming problem.
3. In the case of the assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.
This statement is correct. In the assignment problem, the first step is to create a square matrix by adding a dummy row or a dummy column, depending on whether the number of rows is greater than the number of columns or vice versa. This is done to balance the number of rows and columns in order to find a feasible solution.
In summary, statement 2 and statement 3 are correct, while statement 1 is incorrect. Therefore, the correct answer is option C, which states that statement 2 and statement 3 are correct.
1. For the application of optimally test in the case of a transportation model, the number of allocations should be equal to (m x n) where m is the number of rows and n is the number of columns.
This statement is incorrect. In the transportation model, the number of allocations should be equal to the number of supply points (m) plus the number of demand points (n) minus 1. This is because one allocation is always redundant in order to satisfy the conservation of supply and demand.
2. Transportation problem is a special case of a linear programming problem.
This statement is correct. The transportation problem can be formulated as a linear programming problem and is a special case of it. It involves minimizing the total cost of transporting goods from a set of sources to a set of destinations, subject to constraints on the supply and demand at each location. The objective and constraints can be expressed in linear form, making it a linear programming problem.
3. In the case of the assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.
This statement is correct. In the assignment problem, the first step is to create a square matrix by adding a dummy row or a dummy column, depending on whether the number of rows is greater than the number of columns or vice versa. This is done to balance the number of rows and columns in order to find a feasible solution.
In summary, statement 2 and statement 3 are correct, while statement 1 is incorrect. Therefore, the correct answer is option C, which states that statement 2 and statement 3 are correct.
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Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. Can you explain this answer?
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Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. 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 Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. 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 Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. Can you explain this answer?.
Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. 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 Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. 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 Consider the following statements:1. For the application of optimally test in case of transportation model, the number of allocations should be equal to (m + n) where m is the number of rows and n is the number of columns.2. Transportation problem is a special case of a linear programming problem.3. In case of assignment problem, the first step is to dummy row or a matrix by adding a dummy row or a dummy column.Which of these statements is/are correct?a)1,2 and 3b)1 and 2 onlyc)2 and 3 onlyd)2 onlyCorrect answer is option 'C'. Can you explain this answer?.
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