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In case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicates
- a)an infeasible solution
- b)a degenerate solution
- c)an unbound solution
- d)a multiple number of optimal solutions
Correct answer is option 'D'. Can you explain this answer?
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In case of solution of linear programming problem using graphical met...
Explanation:
Parallel Constraint Line:
When the constraint line of a non-redundant constraint is parallel to the objective function line in a linear programming problem using the graphical method, it indicates a special case.
Multiple Number of Optimal Solutions:
- When the constraint line is parallel to the objective function line, it means that there are infinitely many points on the constraint line that are optimal solutions.
- This is because any point along the constraint line that is parallel to the objective function line will have the same objective function value.
- Therefore, there exist multiple optimal solutions in this scenario.
Significance of Multiple Optimal Solutions:
- Having multiple optimal solutions in a linear programming problem can offer flexibility in decision-making.
- It allows the decision-maker to choose from a range of solutions that all result in the same optimal objective function value.
- The existence of multiple optimal solutions can provide insights into the sensitivity of the solution to changes in the problem parameters.
Conclusion:
In conclusion, when the constraint line of a non-redundant constraint is parallel to the objective function line in a linear programming problem, it signifies the presence of multiple optimal solutions. This situation offers decision-makers the opportunity to select from a variety of equally optimal solutions.
Parallel Constraint Line:
When the constraint line of a non-redundant constraint is parallel to the objective function line in a linear programming problem using the graphical method, it indicates a special case.
Multiple Number of Optimal Solutions:
- When the constraint line is parallel to the objective function line, it means that there are infinitely many points on the constraint line that are optimal solutions.
- This is because any point along the constraint line that is parallel to the objective function line will have the same objective function value.
- Therefore, there exist multiple optimal solutions in this scenario.
Significance of Multiple Optimal Solutions:
- Having multiple optimal solutions in a linear programming problem can offer flexibility in decision-making.
- It allows the decision-maker to choose from a range of solutions that all result in the same optimal objective function value.
- The existence of multiple optimal solutions can provide insights into the sensitivity of the solution to changes in the problem parameters.
Conclusion:
In conclusion, when the constraint line of a non-redundant constraint is parallel to the objective function line in a linear programming problem, it signifies the presence of multiple optimal solutions. This situation offers decision-makers the opportunity to select from a variety of equally optimal solutions.
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In case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect answer is option 'D'. Can you explain this answer?
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In case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect 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 case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect 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 case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect answer is option 'D'. Can you explain this answer?.
In case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect 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 case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect 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 case of solution of linear programming problem using graphical method, if the constraint line of one of the non-redundant constraints is parallel to the objective function line, then it indicatesa) an infeasible solutionb) a degenerate solutionc) an unbound solutiond) a multiple number of optimal solutionsCorrect answer is option 'D'. Can you explain this answer?.
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