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Conditional reasoning concepts are at play in this question

Rule to remember:

x only if y ----> implies if x then y
x is the sufficient condition, and y is the necessary condition

If x ---> y valid
~y ---> ~x valid
If y ---> x Invalid | Switching the necessary and sufficient conditions | Also called mistaken reversal

In this question

"We should change from a paper version to an online version only if doing so will not increase the cost of publication."

So the conditional statement is : If we change from paper to online version (x) ---> then cost should not increase (y) ... Valid

Then the argument says that cost of publication is not going to increase (y) (since it ll be covered by a benefactor etc) ---> we should change from paper to online version (x)

The argument is essentially considering If y ----> x ... Invalid

Notice the argument is switching the necessary and sufficient conditions ---> Hence A is correct
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OE for reference:

Overview:
The journal's editor accepts some advice from its treasurer: due to its financial situation, the journal should be changed from a paper to an online version only if doing so won't increase publication costs. The editor then gives two reasons that publication costs will not increase: an online version would have a much lower cost per issue and the costs of converting to an online version would be paid by a benefactor. On this basis, the editor concludes that the journal should change to an online version. You are asked to identify a flaw in the editor's argument.

The Correct Answer:

A The treasurer's advice is that the journal should change to an online version only if costs will not increase. This treats the absence of any increase in publication costs as a necessary condition for changing; it is consistent with the possibility that the journal should not change even if publication costs do not increase. But the editor infers, from evidence suggesting that costs will not increase, that the journal should change to an online version. This inference is not legitimate. The editor's argument makes this flawed inference because it treats meeting the treasurer's necessary condition as sufficient reason to change.

The Incorrect Answer Choices:

B The editor accepts the view that, because of its financial situation, the journal should be changed from a paper to an online version only if its costs do not increase. That suggests that the journal's present financial situation is a reason for considering its future costs, but it doesn't indicate anything about the reasons for that financial situation. The editor's argument doesn't address those reasons, so it doesn't take anything about them for granted.

C The editor's argument that the journal should change to an online version is based entirely on financial considerations. These considerations could strongly support the editor's conclusion even if there are also nonfinancial advantages associated with changing, which is the possibility raised by (C). So the editor's argument need not address this possibility.

D As (D) suggests, the editor never rules out the possibility that the journal will remain in a precarious financial position whether it changes to an online version or not. But the editor doesn't need to rule out this possibility, because even if the journal's financial situation does remain precarious, this need not affect the editor's reasoning. For example, changing the journal to an online version merely might make the journal's financial situation less precarious; in that event, the editor's premises could still support the conclusion that the journal should change.

E It's true that the editor's conclusion is based partly on the argument of an authority, the journal's treasurer. The treasurer's argument, however, concerns the journal's finances, and there's no reason to think that those finances are outside the treasurer's field of expertise. So (E) doesn't describe a flaw in the editor's argument.
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