(A) says, "attempts to undermine the analysts' argument by questioning the truth of its premises"
The problem with (A) is that the author actually agrees that baby boomers will eventually become savers, so there is not a disagreement with the truth of the analyst's premises. Thus, we can get rid of (A).
(C) says, "attempts to undermine the analysts' argument by drawing an alternative conclusion from the analysts' premises"
The author's conclusion disagrees with the conclusion of the analysts. The author's premises, however, are the same (baby boomers will eventually become savers). From this, we know that this is an instance of coming up with an alternative/different conclusion from the same set of premises. Thus, (C) is the correct answer.
Does this make sense? Let us know if you have any other questions!