When using the Method of Lagrange Multipliers to find the maximum and minimum values of f (x, y, z) = 2x + 3y - z subject to the constraint (x - 1)" + (y - 2)' + ( z + 3)" = 4, how many of the following equations are included in the system which must be simultaneously solved? (i) 2x + 3y - z = 0 (ii) 2 = Ax (iii) 3 = 2X (y - 2) (vi) 1 = 2X (z + 3) (v) (ac - 1)2 + (y - 2)2 + (2+3)2=4 0 3 O 1 0 5 0 4 0 2