Final answer:
The goodwill impairment recognized for the division is the difference between its carrying amount and fair value, resulting in a $15,000 impairment loss.
Step-by-step explanation:
The amount of goodwill impairment for the division is determined by comparing the division's carrying amount with its fair value. To calculate the carrying amount, we add up the carrying values of the division's assets and subtract the liabilities. Here, the carrying amount is $20,000 (Cash) + $35,000 (Inventory) + $125,000 (Equip) + $60,000 (Goodwill) - $30,000 (A/P) = $210,000. The fair value of the division is given as $195,000. Since the carrying amount exceeds the fair value, there is an impairment loss. The impairment loss is the difference between the carrying amount and the fair value, which is $210,000 - $195,000 = $15,000. Therefore, the impairment loss recognized for goodwill is $15,000, which is option A.