# GATE2015-63

The cost of two independent process variables $f_{1}$ and $f_{2}$ affects the total cost $C_{T}$ (in lakhs of rupees) of the process as per the following function :
$$C_{T}=100f_{1}+\frac{1000}{f_{2}f_{2}}+{20f_{2}}^{2}+50$$
The lowest total cost $C_{T}$, in lakhs of rupees (up to one decimal place), is ___________.