The figure below shows a network with three parallel roads represented by horizontal lines $\mathrm{R-A}$, $\mathrm{R-B}$, and $\mathrm{R-C}$ and another three parallel roads represented by vertical lines $\mathrm{V1}$, $\mathrm{V2}$, and $\mathrm{V3}$. The figure also shows the distance (in $\mathrm{km}$ ) between two adjacent intersections. Six ATMs are placed at six of the nine road intersections. Each ATM has a distinct integer cash requirement (in Rs. Lakhs), and the numbers at the end of each line in the figure indicate the total cash requirements of all ATMs placed on the corresponding road. For example, the total cash requirement of the ATM(s) placed on road $\mathrm{R-A}$ is Rs. $22$ Lakhs.
The following additional information is known.
- The ATMs with the minimum and maximum cash requirements of Rs. $7$ Lakhs and Rs. $15$ Lakhs are placed on the same road.
- The road distance between the ATM with the second highest cash requirement and the ATM located at the intersection of $\mathrm{R-C}$ and $\mathrm{V3}$ is $12$ $\mathrm{km}$.
Which of the following statements is correct?
- The cash requirement of the ATM placed at the ($\mathrm{R-C}$, $\mathrm{V2}$) intersection cannot be uniquely determined.
- The ATM placed at the ($\mathrm{R-C}$, $\mathrm{V2}$) intersection has a cash requirement of Rs. $9$ Lakhs.
- The ATM placed at the ($\mathrm{R-C}$, $\mathrm{V2}$) intersection has a cash requirement of Rs. $8$ Lakhs.
- There is no ATM placed at the ($\mathrm{R-C}$, $\mathrm{V2}$) intersection.