4. Consider the following problem Maximize z = 3x1 + x2 + 4x3 subject to 6x1 + 3x; + 5x3 5 25 3151 + 4x2 + 5x3 5 20 x1,x2, x3 2 0 After applying the simplex method, the optimal tableau is as shown below. Basic Coefcient of Right n (a) Write down the optimal solution. [2] [b] Construct the dual problem. [4] [c] Write down the optimal solution for the dual problem from the optimal tableau and verify this solution by solving the dual problem graphically. [12] THE END