NYC Health Dept: Sugary drinks limit is reasonable Associated Press Copyright 2013 Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed. Updated 10:09 am, Wednesday, January 23, 2013 NEW YORK (AP) — A New York City lawyer says a limit on the size of sugary drinks is reasonable and necessary because of an obesity epidemic. The measure bars restaurants and many other eateries from selling high-sugar drinks in containers bigger than 16 ounces.