A company has a choice of two languages $L_1$ and $L_2$ to develop a software for their client. Number of LOC required to develop an application in $L_2$ is thrice the LOC in language $L_1$. Also, software has to be maintained for next $10$ years. Various parameters for two languages are given below to decide which language should be preferred for development.
$\begin{array}{|l|l|l|} \hline \text{PARAMETER} & L_1 & L_2 \\ \hline \text{Man-year needed for development} & \text{LOC}/1000 & \text{LOC}/1000 \\ \hline \text{Development cost} & \text{Rs}. 70,000 & \text{Rs}. 90,000 \\ \hline \text{Cost of Maintenance per year} & \text{Rs.} 1,00,000 & \text{Rs.} 40,000 \\ \hline \end{array}$
Total cost of project include cost of development and maintenance. What is the $\text{LOC}$ for $L_1$ for which cost of developing the software with both languages must be same?
- $2000$
- $6000$
- $3000$
- $5000$