Mechanical Engineering Exam > Mechanical Engineering Questions > The number of basic variables in a simplex m...
Start Learning for Free
The number of basic variables in a simplex method is equal to
- a)Number of decision variables
- b)Number of constraints
- c)Total available variables (slack variables plus decision variables)
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The number of basic variables in a simplex method is equal toa) Numbe...
Explanation:
Number of Basic Variables in Simplex Method
In the simplex method, the number of basic variables is equal to the number of constraints in the linear programming problem. This is because each constraint in the problem corresponds to a basic variable in the simplex method.
Basic Variables vs. Non-Basic Variables
- Basic variables are the variables that are chosen as the basic variables at each iteration of the simplex method.
- Non-basic variables are the remaining variables in the problem that are not chosen as basic variables.
Role of Basic Variables
- Basic variables play a crucial role in the simplex method as they form the basis of the solution.
- The values of the basic variables determine the values of the non-basic variables through the constraints of the linear programming problem.
Number of Decision Variables vs. Number of Constraints
- The number of decision variables in a linear programming problem is not necessarily equal to the number of basic variables in the simplex method.
- The number of constraints, on the other hand, directly corresponds to the number of basic variables in the simplex method.
Therefore, the correct answer to the question is option 'B', as the number of basic variables in the simplex method is equal to the number of constraints in the linear programming problem.
Number of Basic Variables in Simplex Method
In the simplex method, the number of basic variables is equal to the number of constraints in the linear programming problem. This is because each constraint in the problem corresponds to a basic variable in the simplex method.
Basic Variables vs. Non-Basic Variables
- Basic variables are the variables that are chosen as the basic variables at each iteration of the simplex method.
- Non-basic variables are the remaining variables in the problem that are not chosen as basic variables.
Role of Basic Variables
- Basic variables play a crucial role in the simplex method as they form the basis of the solution.
- The values of the basic variables determine the values of the non-basic variables through the constraints of the linear programming problem.
Number of Decision Variables vs. Number of Constraints
- The number of decision variables in a linear programming problem is not necessarily equal to the number of basic variables in the simplex method.
- The number of constraints, on the other hand, directly corresponds to the number of basic variables in the simplex method.
Therefore, the correct answer to the question is option 'B', as the number of basic variables in the simplex method is equal to the number of constraints in the linear programming problem.
|
Explore Courses for Mechanical Engineering exam
|
|
Top Courses for Mechanical EngineeringView all
Question Description
The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. 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 The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The number of basic variables in a simplex method is equal toa) Number of decision variablesb) Number of constraintsc) Total available variables (slack variables plus decision variables)d) None of the aboveCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily