The Most Useless Button Ever

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So, the blogosphere was helpful explaining to the me the necessity of Hell having a guard dog, so maybe y’all can help me with this one:

Why do elevators have a "door close" button?  While I’ve been pretty satisfied with the performances of door open buttons on most elevators that I’ve ridden in, it occurred to me today that most, if not all, door close buttons simply don’t work.  What gives?  What can we save on elevators if we forgo this useless button?