Two design options for a distillation system are being compared based on the total annual cost. Information available is as follows:
$$\begin{array}{clcIcIcI|cI|c}\hline
&\textbf{} & \textbf{Option P} & \textbf{Option Q} \\ \hline &\text{Installed cost of the system (Rs in lakhs)} & \text{150} & \text{120} & \\&\text{Cost of cooling water for condenser (Rs in lakhs/year)} & \text{6} & \text{8} \\ &\text{Cost of steam for reboiler (Rs in lakhs/year)} &\text{16} &\text{20} \\ \hline \end{array}$$
The annual fixed charge amounts to $12\%$ of the installed cost. Based on the above information, what is the total annual cost ($Rs$ in lakhs/year) of the better option?
- $40$
- $42.4$
- $92$
- $128$