Mechanical Engineering Exam > Mechanical Engineering Questions > In the solution of a linear programming prob...
Start Learning for Free
In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem has
- a)infinite number of solutions
- b)infeasible solution
- c)degeneracy
- d)unbound solution
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
In the solution of a linear programming problem by Simplex method, if...
Explanation:
When solving a linear programming problem by the Simplex method, the algorithm requires selecting a variable to enter the basis and another variable to exit the basis. In each iteration, the entering variable is selected based on the optimality condition, which involves calculating the ratios of the right-hand side (RHS) coefficients bi to the coefficients of the entering variable a.
If all ratios are negative, it means that the objective function is unbounded in the direction of the entering variable. In other words, we can increase the value of the entering variable indefinitely while still satisfying all constraints, which leads to an unbounded solution. This situation occurs when the feasible region is not bounded, and the objective function can increase or decrease without limit.
Therefore, the correct answer is option D, unbounded solution.
Summary:
- Simplex method requires selecting an entering variable based on the optimality condition.
- If all ratios of RHS coefficients to entering variable coefficients are negative, the problem has an unbounded solution.
- An unbounded solution occurs when the feasible region is not bounded and the objective function can increase or decrease without limit.
When solving a linear programming problem by the Simplex method, the algorithm requires selecting a variable to enter the basis and another variable to exit the basis. In each iteration, the entering variable is selected based on the optimality condition, which involves calculating the ratios of the right-hand side (RHS) coefficients bi to the coefficients of the entering variable a.
If all ratios are negative, it means that the objective function is unbounded in the direction of the entering variable. In other words, we can increase the value of the entering variable indefinitely while still satisfying all constraints, which leads to an unbounded solution. This situation occurs when the feasible region is not bounded, and the objective function can increase or decrease without limit.
Therefore, the correct answer is option D, unbounded solution.
Summary:
- Simplex method requires selecting an entering variable based on the optimality condition.
- If all ratios of RHS coefficients to entering variable coefficients are negative, the problem has an unbounded solution.
- An unbounded solution occurs when the feasible region is not bounded and the objective function can increase or decrease without limit.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Top Courses for Mechanical EngineeringView all
In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer?
Question Description
In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect 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 the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect 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 the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer?.
In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect 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 the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect 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 the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In the solution of a linear programming problem by Simplex method, if during iteration, all ratios of right-hand side bi to the coefficients of entering variable a are found to be negative, it implies that the problem hasa) infinite number of solutionsb) infeasible solutionc) degeneracyd) unbound solutionCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup