Simplex Method Of Solving Linear Programming Problems

Otherwise there would be multiplied by "-1" on both sides of the inequality (noting that this operation also affects the type of restriction).

Otherwise there would be multiplied by "-1" on both sides of the inequality (noting that this operation also affects the type of restriction).

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When we placed the objective function into the tableau, we moved the decision variables and their coefficients to the left hand side and made them negative.

Therefore, the most negative number in the bottom row corresponds to the most positive coefficient in the objective function and indicates the direction we should head.

A positive value in the bottom row of the tableau would correspond to a negative coefficient in the objective function, which means heading in that direction would actually decrease the value of the objective.

That's not what we want to do if we want a maximum value, so we stop when there are no more negatives in the bottom row of the objective function.

Each column will have it's non-zero element in a different row.

The variable in that column will be the basic variable for the row with the non-zero element. Hopefully your answer is to gain for each step you move.Linear Programming: It is a method used to find the maximum or minimum value for linear objective function. Simplex Method: It is one of the solution method used in linear programming problems that involves two variables or a large number of constraint.The solution for constraints equation with nonzero variables is called as basic variables.If a column is not cleared out and has more than one non-zero element in it, that variable is non-basic and the value of that variable is zero.The values of all non-basic variables (columns with more than one number in them) are zero. Each row of the tableau will have one variable that is basic for that row.This Linear programming calculator can also generate the example fo your inputs.As the independent terms of all restrictions are positive no further action is required.We are moving off of the line corresponding to the non-basic variable in the pivot column.That means that variable is exiting the set of basic variables and becoming non-basic. Now that we have a direction picked, we need to determine how far we should move in that direction.The pivot column is the column with the most negative number in its bottom row.If there are no negatives in the bottom row, stop, you are done.