Final answer:
The recognized loss for the automobile, given an adjusted basis of $45,000 and a realized loss of $18,000, is $0 as personal losses on sales of personal vehicles are not deductible for tax purposes.
Step-by-step explanation:
In the scenario described, with an adjusted basis of $45,000 and a realized loss of $18,000, the recognized loss for the automobile would be $0 (Option B). This is because, according to most tax rules, a personal loss on the sale of a personal automobile is not deductible. As such, even though the loss is realized, it would not be recognized for tax purposes.