A simple distillation column is designed to separate an ideal binary mixture to specified distillate and bottoms purities at a given column pressure. It $RR_{\text{min}}$ is the minimum reflux ratio for this separation, select the statement that is NOT CORRECT with regard to the variation in the total annualized cost $\text{(TAC)}$ of the column with reflux ratio $\text{(RR)}$.

1. $\text{TAC}$ has a minimum with respect to $\text{RR}$
2. The sharpest rise in $\text{TAC}$ occurs as $\text{RR}$ approaches $RR_{\text{min}}$ from above
3. The sharpest decrease in $\text{TAC}$ occurs as $\text{RR}$ approaches $RR_{\text{min}}$ from above
4. $\text{TAC}$ increases with $\text{RR}$ for $RR >> RR_{\text{min}}$