The impact of using Jenkins should be easy to measure with metrics like "number of new version of the application released per week", "time it takes a commit to

The impact of using Jenkins should be easy to measure with metrics like "number of new version of the application released per week", "time it takes a commit to get released" or even "number of rollbacks caused by a buggy version". With a continuous delivery pipeline setup you'll release often and the new version will work. And that's great from the business point of view.