Couldn't open /etc/cups/ppd/Quad3800.ppd for reading: No such file or directory.
Are you certain that the /private/etc/cups/ppd subdirectory privileges look correct? When I look at the info for that subdirectory (Cmd-i), System is given Read&Write privilege, and “_lp” and “everyone” are given Read privilege.
I’m using OS X 10.9.2, and /library/printers/QTR/bin/quadinstall is dated 2014-01-14. It installed a 3880 without complaint.
Myron