Final answer:
The machine sold by Butte has a gain of $10,200.
Step-by-step explanation:
To determine Butte's gain or loss, we need to calculate the net book value of the machine. The net book value is the original cost of the machine minus the accumulated depreciation. The original cost of the machine is $53,200 and the accumulated depreciation is $11,600. Therefore, the net book value is $53,200 - $11,600 = $41,600.
Since Butte sold the machine for $51,800, we can calculate the gain or loss by subtracting the net book value from the selling price. $51,800 - $41,600 = $10,200. Since the selling price is higher than the net book value, Butte has a gain of $10,200.
The correct answer is d) $10,200 gain.