I live in an older home with only one bath on the second floor. I plan to turn part of an existing room on the first floor into a bathroom. This will be a full bath with a toilet, sink and shower. The main DWV line is 4" C.I. and about 35' from the new bathroom. I plan to run 4" PVC and tie into the C.I. My question is do I need an additional vent for the new bath? If so, what is the best way to do it? What size should it be? I planned to run all the drain lines under the floor then connect to the new PVC.