Given the simplex tableau for the optimal primal solution, A)the values of the dual variables can be found from the c_j − z_j values of the slack/surplus variable columns. B)the values of the dual surplus variables can be found from the c_j − z_j values of the primal decision variable columns. C)the value of the dual objective function will be the same as the objective function value for the primal problem. D)All of these are correct.

Question

Quizplus · Accepted Answer

The values of the dual variables can indeed be found from the coefficients in the slack/surplus variable columns of the final simplex tableau, which corresponds to choice A. The values of the dual surplus variables are related to the primal decision variable columns, as indicated in choice B. Moreover, the duality theorem in linear programming states that the value of the dual objective function is equal to the value of the primal objective function at optimality, which is what choice C states. Therefore, all these statements are correct, making D the correct choice.

Given the Simplex Tableau for the Optimal Primal Solution