8. Consider the problem Maximize z = Xl + 5X2 + 3X3 subject to Xl + 2X2 + X3 = 3 2Xi - X2 = 4 The variable X3 plays the role of a slack. Thus, no artificial variable is needed in the first constraint. However, in the second constraint, an artificial variable is needed. Use this starting solution (i.e., X3 in the first constraint and R2 in the second constraint) to solve this problem.