Apparently, Amtrak DOES advertise.
From Amtrak Ink September 2007 Edition:
System-wide Campaign
This campaign includes television ad placement on theWeather
Channel in the top 21 markets and print advertising in the major daily
newspapers in select markets and in national and regional magazines,
such as Budget Travel, National Geographic Traveler,Midwest Living
and Sunset.
Out-of-home advertising is a major component of this campaign as
well, with advertising appearing nationally on CNN in various airports,
billboard placements in the Los Angeles, Chicago, Seattle, Denver and
Orlando airports and large billboard placements along the major highways
leading to these airports.Additionally, significant advertising is
placed on various Internet travel sites such as Orbitz,Travelocity,
Expedia and search engines such as Google,AOL and MSN.
“With the high cost of gasoline, increased traffic congestion and
erratic airline service,” said Director, National Advertising Darlene
Abubakar, “there has never been a better time to broadly promote the
benefits and advantages of train travel.”
The system-wide campaign continues to use the updated Michael
Schwab illustrations introduced in September 2003.Ads still promote
select city pairings and special tactical pricing offers will be featured as they become available.