Question

How Simplex Method is used in Linear Programming?

Answer 1

Hint: The simplex method is one of the best practices for finding the optimal solution to a linear programming problem. Write the steps involved in the simplex method which is used in Linear Programming.

Complete step-by-step solution:The simplex method is a method for testing vertices as potential solutions. It is an iterative process algorithm for solving LP problems. The following are the steps involved in the simplex method:
Step 1: Write the provided LPP in standard form, including the objective function and constraints.
Step 2: Incorporate slack variables
Step 3: Make iteration tables
Step 4: Determine the pivot variables
Step 5: Remove the remaining variables
Step 6: Make another table and repeat steps 4 and 5.
Continue with the last three steps until we find a viable solution.

Simplex Method is an iterative process algorithm for solving Linear Programming problems.

Additional information: The Simplex method is a method for solving linear programming models by hand by using slack variables, tableaus, and pivot variables to find the best solution to an optimization problem. Simplex tableau is used to perform row operations on the linear programming model and to test for optimality. In linear programming, the simplex method is used to solve problems. It examines the adjacent vertices of the feasible set to ensure that the objective function increases or remains unchanged at each new vertex.

Note: To use the Simplex method, a linear programming model must be in standard form before introducing slack variables. An optimal solution can be found by combining the tableau and pivot variables.