st Question : (25 points) Max z- x + 2x2 63 2x1 + x2+3 10 -x2 + x3 54 x1, x2, x320 The Simplex Table of the optimal solution of the above LP model is given below. (51 is the slack variable added to the first constraint, S2 is the slack variable added to the second constraint) Basic X1 X2 X3 S1 S2 RHS Z 7 0 0 4 2 48 X2 1 1 0 1/2 -1/2 3 X3 1 0 1 1/2 1/2 7 Assume that the constraint x1 - x3 > 6" is added to the above model. Find the new optimal solution by the Dual Simplex Algorithm