Final answer:
To calculate the depletion expense for the ore mine, subtract the salvage value from the sum of the acquisition cost and additional costs, divide by the total estimated ore to get depletion per unit, and then multiply by the tons sold.
Step-by-step explanation:
The student is asking how to calculate the depletion expense for an ore mine that has been acquired by a company, which is a common problem in the field of accounting. To determine the depletion expense, you first need to calculate the depletion per unit, which is the cost minus the salvage value divided by the total units of capacity. Using the information provided:
- Total cost of acquisition: $3,080,000
- Additional costs: $862,400
- Estimated salvage value: $440,000
- Estimated ore reserves: 2,200,000 tons
First, compute the total amount subject to depletion by adding the cost of acquisition and the additional costs, then subtracting the salvage value:
($3,080,000 + $862,400) - $440,000 = $3,502,400 subject to depletion.
Then, calculate the depletion per unit:
$3,502,400 ÷ 2,200,000 tons = $1.59 per ton depletion per unit.
Next, we account for the ore extracted and sold in the first year:
240,000 tons extracted × $1.59 per ton = Depletion expense of $381,600.
The journal entry to record the depletion expense would be:
- Debit Depletion Expense for $381,600
- Credit Accumulated Depletion – Ore Mine for $381,600