(30pt) Answer the following questions considering {:[min z=2//3x_(1)+4x_(2)+x_(3)],[" st "quadx_(1)+x_(2)+x_(3) = 3],[x_(1)","x_(2)","x_(3) >= 0]:} a. Find the optimal solution of this LP by 2-Phase Simplex Method. b. Construct an equation that can ensure to find all alternative optimal solutions, but you need to find the alternative optimal solution first.

minz=st2/3x1+4x2+x3x1+x2+x322x1+x232x1+x2+3x33x1,x2,x30 a. Find the optimal solution of this LP by 2-Phase Simplex Method. b. Construct an equation that can ensure to find all alternative optimal solutions, but you need to find the alternative optimal solution first