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A.) Setting all artificial variables to zero of the auxiliary problem provides an initial feasible solution for the original LP. B.) If an LP has an optimal solution, then all artificial variables in the optimal solution of the big-M LP must be zero. C.) In the big- M method, the value of M can be set to any positive value. Which of the following statement(s) is/are correct? (select all that apply) A.) The simplex method requires an initial basic feasible solution that has no zero values. B.) Setting all the original variables to zero never provides a feasible solution. C.) An initial feasible solution can be the optimal solution. D.) Setting all slack and excess variables to zero always provides a feasible solution