Answer: $225,000
Explanation:
Given that,
Company acquired a mine = $970,000 of this amount,
Land value = $100,000 and remaining portion to the minerals in the mine
Ore appear to be in the mine = 12,000,000 units
Aristotle incurred development costs = $170,000
fair value of its obligation = $40,000
ore were extracted = 2,500,000 units
Units sold = 2,100,000
[tex]Depletion\ per\ unit = \frac{Mine\ acquiring\ cost + Development\ cost + Fair\ value\ of\ land - land\ value}{Ore\ appear\ to\ be\ in\ the\ mine}[/tex]
=[tex]\frac{970,000 + 170,000 + 40,000 - 100,000}{12,000,000}[/tex]
= $0.09 depletion per unit
The total amount of depletion for 2017 = depletion per unit × ore were extracted
= $0.09 × 2,500,000
= $225,000