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Which one of the following is true in case of simplex method of linear programming? 
  • a)
    The constants of constraints equation may be positive or negative  
  • b)
    Inequalities are not converted into equations  
  • c)
    It cannot be used for two-variable problems  
  • d)
    The simplex algorithm is an iterative procedure 
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which one of the following is true in case of simplex method of linear...
Simplex Method in Linear Programming

The simplex method is a widely used algorithm in linear programming. It is an iterative procedure that helps in finding the optimal solution for a linear programming problem. The following are some of the features of the simplex method:

Iterative Procedure

The simplex algorithm is an iterative procedure. It starts with an initial feasible solution and then moves from one feasible solution to another until it reaches an optimal solution. At each step, the algorithm chooses a variable to enter the basis and a variable to leave the basis, which improves the objective function value.

Constraints

The constraints in a linear programming problem are represented as equations or inequalities. The constants of the constraints equation may be positive or negative. However, in the simplex method, inequalities are converted into equations by introducing slack variables.

Variables

The simplex method can be used for problems with any number of variables. It cannot be used for two-variable problems alone, but it can be used for problems with two variables or more.

Optimization

The simplex method is an optimization algorithm. It helps in finding the optimal solution for a linear programming problem. The optimal solution is the one that maximizes or minimizes the objective function, subject to the constraints.

Conclusion

The simplex method is an iterative procedure that helps in finding the optimal solution for a linear programming problem. It can be used for problems with any number of variables and constraints. The constants of the constraints equation may be positive or negative, and inequalities are converted into equations by introducing slack variables. It cannot be used for two-variable problems alone, but it can be used for problems with two variables or more.
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Which one of the following is true in case of simplex method of linear programming?a)The constants of constraints equation may be positive or negative b)Inequalities are not converted into equations c)It cannot be used for two-variable problems d)The simplex algorithm is an iterative procedureCorrect answer is option 'D'. Can you explain this answer?
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Which one of the following is true in case of simplex method of linear programming?a)The constants of constraints equation may be positive or negative b)Inequalities are not converted into equations c)It cannot be used for two-variable problems d)The simplex algorithm is an iterative procedureCorrect 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 Which one of the following is true in case of simplex method of linear programming?a)The constants of constraints equation may be positive or negative b)Inequalities are not converted into equations c)It cannot be used for two-variable problems d)The simplex algorithm is an iterative procedureCorrect 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 Which one of the following is true in case of simplex method of linear programming?a)The constants of constraints equation may be positive or negative b)Inequalities are not converted into equations c)It cannot be used for two-variable problems d)The simplex algorithm is an iterative procedureCorrect answer is option 'D'. Can you explain this answer?.
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