Final answer:
The gain that Harper should recognize from exchanging its used machine and $15,000 cash for Austin's used machine is $16,000.Option D is the correct answer.
Step-by-step explanation:
When Harper contemplates exchanging a machine for a similar one with either Austin Corporation or Lubin Company, we must calculate the gain or loss for financial reporting. We determine this by comparing the book value of Harper's machine to the fair value of what they receive. Harper's machine has a book value of $162,500 (original cost) minus $98,500 (accumulated depreciation), which equals $64,000. If Harper exchanges its machine plus $15,000 cash for Austin's machine valued at $95,000, we compare Harper's book value of $64,000 plus the cash of $15,000 to Austin's fair value of $95,000.
The transaction looks like this: Harper's Machine Book Value ($64,000) + Cash ($15,000) = Total Value ($79,000). Since the fair value of Austin's machine is $95,000, Harper would be trading something worth a total of $79,000 for something worth $95,000. This results in a gain of $16,000 for Harper ($95,000 - $79,000).
Therefore, the correct answer is: d) $16,000.