Provide a brief explanation only for the true/false questions. i) This problem refers to a linear program to maximize Z = CX in the standard form. If a basic variable x, has z,-c, =0 at optimality, then one can claim that alternative optimal solution exist. True or False? (ii) The purpose of a dummy source or dummy destination in a transportation problem is to a) make certain that the total cost does not exceed some specified figure. b) prevent the solution from becoming degenerate. c) obtain a balance between total supply and total demand. d) provide a means of representing a dummy problem. iii) The transportation table used for transportation problems serves the same primary role as the simplex tableau does for general linear programming problems. True/False? iv) If a feasible solution is optimal, it must be a CPF solution. True/False? v) The simplex method's minimum ratio rule for choosing the leaving variable basic variable is used because making another choice with a larger ratio would yield a basic solution that is not feasible. True or False?