Question

At the beginning of 2020, Beerbo acquired a mine for $970,000. Of this amount, $100,000 was ascribed to the land value (the remaining portion was ascribed to the mine). Surveys conducted by geologists have indicated that approximately 12,000,000 units of ore appear to be in the mine. Beerbo incurred $170,000 of development costs associated with this mine prior to any extraction of minerals. It also determined that the fair value of its obligation to prepare the land for an alternative use (when all of the minerals have been removed) is $40,000. During 2020, 2,500,000 units of ore were extracted and 2,100,000 of these units were sold. What is the amount extracted in 2020

Answer 1

$225,000

Step-by-step explanation:

Depletion rate = [Mine cost - Land value + Obligation to prepare the land for an alternative + Development cost] / Total number of ore extracted

Depletion rate = [$970,000 - $100,000 + $40,000 + $170,000] / $12,000,000

Depletion rate = $1,080,000/$12,000,000

Depletion rate = $0.09

Amount extracted in 2020 = Unit of ore extracted in 2020 / Depletion rate

Amount extracted in 2020 = 2,500,000 units * $0.09

Amount extracted in 2020 = $225,000