I'm not a moderator, but if you've already created your DVD project folder (and its integrated DVD file structure), regardless of its size (4.1 GB, 4.2 GB, 8.4 GB, 14.2 GB, etc...), open THAT with DVD Shrink. Allow the program to perform a "deep analysis", then make your .iso image ("backup!"). DVD Shrink will compress your folder
just enough to fit perfectly across the (full) face of a disc. This particular feature of this program is precisely why DVD 'Shrink' is named as it is...
I only make this suggestion to try to keep you from beating yourself (and the admin) up over
all the compression, bit rate, overall file size, etc. questions.
DVD shrink has an on-board "help topics" section. If you get stuck, read through that. Before someone else will help you, you must be willing to help out yourself, first...

...Best of luck to you!