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Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are
[2005]
- a)Y1 and Y2
- b)Y1 and v1
- c)Y1 and Y1
- d)v1 and v2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be t...
The optimal dual variables are V1 & V2 .
Most Upvoted Answer
Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be t...
Explanation:
The given linear programming problem has decision variables Y1 and Y2 in the primal form. To find the optimal solution, we need to solve the dual of the problem. The dual variables are denoted by Y1 and Y2 in the dual form.
The dual problem also has slack variables v1 and v2. These slack variables represent the surplus or slack in the constraints of the primal problem. They are used to convert the inequality constraints of the primal problem into equality constraints in the dual problem.
Optimum Dual Variables:
To find the optimum dual variables, we need to solve the dual problem. The solution to the dual problem will give us the values of the dual variables Y1 and Y2. The slack variables v1 and v2 are not part of the dual problem and do not represent the dual variables.
Therefore, the correct answer is option 'D' - v1 and v2.
Conclusion:
In the given linear programming problem, the optimum dual variables are v1 and v2. The decision variables Y1 and Y2 are part of the primal problem and are not the dual variables. It is important to understand the difference between the decision variables and the dual variables in a linear programming problem to correctly identify the optimum dual variables.
The given linear programming problem has decision variables Y1 and Y2 in the primal form. To find the optimal solution, we need to solve the dual of the problem. The dual variables are denoted by Y1 and Y2 in the dual form.
The dual problem also has slack variables v1 and v2. These slack variables represent the surplus or slack in the constraints of the primal problem. They are used to convert the inequality constraints of the primal problem into equality constraints in the dual problem.
Optimum Dual Variables:
To find the optimum dual variables, we need to solve the dual problem. The solution to the dual problem will give us the values of the dual variables Y1 and Y2. The slack variables v1 and v2 are not part of the dual problem and do not represent the dual variables.
Therefore, the correct answer is option 'D' - v1 and v2.
Conclusion:
In the given linear programming problem, the optimum dual variables are v1 and v2. The decision variables Y1 and Y2 are part of the primal problem and are not the dual variables. It is important to understand the difference between the decision variables and the dual variables in a linear programming problem to correctly identify the optimum dual variables.
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Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct answer is option 'D'. Can you explain this answer?
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Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct 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 Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct 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 Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct answer is option 'D'. Can you explain this answer?.
Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct 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 Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct 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 Let Y1 and Y2 be the decision variables of the dual and v1 and v2 be the slack variables of the dual of the given linear programming problem.The optimum dual variables are[2005]a)Y1 and Y2b)Y1 and v1c)Y1 and Y1d)v1 and v2Correct answer is option 'D'. Can you explain this answer?.
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