gvij2017
A,C and D are clearly out.
Between B and E,
(B). The manufacture and operation of hot-air dryers use fewer natural resources than do the manufacture and use of paper towels.
Negation: The manufacture and operation of hot-air dryers use more natural resources than do the manufacture and use of paper towels.
But we don't know the proportionwise which is used widely in public restrooms. So, I think this is not correct assumption.
(E). The operators of public restrooms are willing to replace paper towels with hot-air dryers.
Negation: The operators of public restrooms are not willing to replace paper towels with hot-air dryers.
If operators are not willing to adopt this replacement strategy, then no matter how much environmental benefits of using hand dryer, they will continue with paper towels.
I think E is better over B.
Neither (B) nor (E) really works though.
The correct answer to an Assumption question should be an assumption necessary for the support of the conclusion of the argument. The conclusion of the argument in this question is:
Conclusion: the environmental impact of the emissions from the paper-manufacturing process would be lessened.
Arriving at that conclusion does not require assuming what (B) says, because the use of resources by dryers does not affect "the enviromental impact of the emissions
from the paper-manufacturing process."
Meanwhile, (E) doesn't make sense, because a "ban" does not really require willingness. A ban is something that is enforced regardless of willingness. So, concluding something about the effects of a ban does not really require assuming anything about willingness. I mean, sure, maybe the operators of public restrooms will start a revolution over the use of paper towels if they are not willing to stop using them, but somehow I don't think that the idea of this question is that the argument relies on the assumption that the paper towel ban won't be overturned via a revolution.
So, this question does not include a correct answer.