There are six companies, $1$ through $6.$ All of these companies use six operations, A through F. The following graph shows the distribution of efforts put in by each company in these six operations.
Suppose effort allocation is interchanged between operation B and C, then C and D, and then D and E. If companies are then ranked in ascending order of effort in E, what will be the rank of company 3?
- $2$
- $3$
- $4$
- $5$