O'Reilly Corp.purchased a mine on January 1,2016,for $530,000.The mine is estimated to contain 39,000 tons of iron ore.There is no residual value.The business extracted and sold 9,500 tons of ore in 2016 and 13,800 tons of ore in 2017.What is the book value of the mine at the end of 2017? (Round any intermediate calculations to two decimal places,and your final answer to the nearest dollar. )

Question

Quizplus · Accepted Answer

Depletion per unit = (Cost - Residual value)/ Estimated total units
Depletion per unit = ($530,000 - $0)/ 39,000 = $13.59 per ton
Depletion expense = Depletion per unit × Number of units extracted
Depletion expense for year 2016 = $13.59 × 9,500 tons = $129,105
Depletion expense for year 2017 = $13.59 × 13,800 tons = $187,542
Book value of mine at the end of year 2017 = $530,000 - $129,105 - $187,542 = $213,353