The variable to enter into the basis is the variable with the largest positive c_j - z_j value.

Question

Quizplus · Accepted Answer

This is true according to the simplex method for optimization problems. The variable with the highest positive coefficient in the objective function (c) is chosen to enter the basis. In this case, the coefficient is multiplied by the value of the variable in the row with the smallest non-negative ratio of solution value to coefficient (z). The variable with the largest resulting value becomes the entering variable.

The Variable to Enter into the Basis Is the Variable