(50pts) If X3, X; and S3 are the basic variables in optimal tableau by order, then a. Construct the optimal tableau using sensitivity analysis. (write down all the details) b. Find the Dual model of the problem. z X1 X2 X3 Si S2 S3 RHS MAX Z= 3X1 + X2 + 2X3 s.t. X1 + X2 + X3 0 Insert the solution in the table (50pts) If X3, X; and S3 are the basic variables in optimal tableau by order, then a. Construct the optimal tableau using sensitivity analysis. (write down all the details) b. Find the Dual model of the problem. z X1 X2 X3 Si S2 S3 RHS MAX Z= 3X1 + X2 + 2X3 s.t. X1 + X2 + X3 0 Insert the solution in the table