Which one of the following is true in case of simplex method of linea...
Simplex Method in Linear Programming
Iterative Solution
- The simplex method is an iterative procedure where the steps are repeated until an optimal solution is reached.
- At each iteration, the algorithm moves from one basic feasible solution to another, improving the objective function value each time.
Constants of Constraints Equation
- The constants of the constraints equation may be positive or negative, as the simplex method can handle both types of coefficients.
Inequalities to Equations
- In the simplex method, inequalities are typically converted into equations by introducing slack, surplus, or artificial variables.
- This transformation allows the algorithm to work with equations instead of inequalities.
Two-Variable Problems
- The simplex method can be used for problems with any number of variables, including two-variable problems.
- It is a powerful tool for solving linear programming problems with multiple decision variables.
Conclusion
- The simplex algorithm is an iterative procedure that can handle both positive and negative constants in constraints equations, convert inequalities into equations, and be used for problems with any number of variables.