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Depreciation Expense Using the Units-of-Production Method The Sonya Company is a coal company based in West Virginia. The company recently purchased a new coal truck for \(\$ 50,000\). The truck had an expected useful life of 200,000 miles and an expected salvage value of \(\$ 2,000\). Calculate the depreciation expense using the units-of-production method assuming the truck travelled 40,000 miles on company business during the year.

Short Answer

Expert verified
The depreciation expense for the year is $9,600.

Step by step solution

01

Understand the Units-of-Production Method Formula

The units-of-production method calculates depreciation based on actual usage. The formula is: \[\text{Depreciation Expense} = \frac{\text{Cost} - \text{Salvage Value}}{\text{Total Expected Usage}} \times \text{Actual Usage}\] This formula applies the fraction of the asset's usage to its depreciation.
02

Identify the Values to Use

From the problem statement, we have:- Cost of the truck = \(\\( 50,000\)- Expected salvage value = \(\\) 2,000\)- Total expected useful life in miles = 200,000 miles- Actual usage during the year = 40,000 miles.
03

Calculate the Depreciation Rate Per Mile

Using the formula components:\[\frac{\text{Cost} - \text{Salvage Value}}{\text{Total Expected Usage}} = \frac{\\(50,000 - \\)2,000}{200,000}\]Calculate this fraction to find the depreciation cost per mile.
04

Calculate the Depreciation Per Mile

Calculate the fraction from Step 3:\[\frac{\\(48,000}{200,000} = \\)0.24\]This indicates that the depreciation expense is \(\$0.24\) per mile driven.
05

Calculate Total Depreciation Expense

Using the depreciation cost per mile, calculate the total depreciation for the miles driven:\[40,000 \times 0.24 = \$9,600\]This total represents the depreciation expense for the year.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Depreciation Expense
When we talk about depreciation expense, we're discussing how quickly an asset loses its value over time. This is important for businesses to understand as it impacts financial statements and tax calculations. Depreciation expense accounts for the wear and tear or obsolescence of an asset, such as a coal truck. As the truck is used, its value decreases, and this decrease is what we record as the depreciation expense. In the case of the Sonya Company, the truck's depreciation expense is calculated based on how many miles it drives each year. This approach ensures that the expense more accurately reflects the asset's usage, providing a more accurate picture of its value over time.
Depreciation Calculation
The unit-of-production method for calculating depreciation is particularly useful for manufacturing or mining companies where usage varies significantly over time. For the Sonya Company and their coal truck, the calculation involves several key steps.

Key Values Needed for Calculation

  • Initial purchase cost of the asset.
  • Estimated salvage value.
  • Total expected useful life, often measured in miles or units.
  • Actual units of production or usage during the period.
The formula applied here is: \[\text{Depreciation Expense} = \frac{\text{Cost} - \text{Salvage Value}}{\text{Total Expected Usage}} \times \text{Actual Usage}\]The depreciation rate is calculated per mile in this scenario, and then multiplied by actual miles driven to determine the expense for the period.
Useful Life
When calculating depreciation using the units-of-production method, 'useful life' refers to the expected capacity of usage for which the asset will be productive. For the Sonya Company, this was estimated at 200,000 miles. The useful life is critical as it provides a foundation for determining how much depreciation should be expensed annually.

Importance of Accurate Estimations

Understanding that an asset can become obsolete or fully depreciated is crucial. Assumptions about useful life should be carefully considered as inaccurate estimates can lead to incorrect financial forecasting.
Salvage Value
Salvage value is the estimated residual value of an asset at the end of its useful life. This value is important as it impacts how much depreciation expense is recorded over the lifetime of the asset. For Sonya Company’s truck, the salvage value was set at $2,000.

Considerations for Setting Salvage Value

  • Market trends for similar used assets.
  • Potential deterioration or obsolescence reducing the item's value by the end of its useful life.
Recognizing an accurate salvage value allows companies to plan financially for future asset replacements and ensures the depreciation recorded is realistic.

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Most popular questions from this chapter

Which of the following statements is true? a. Goodwill is subject to amortization. b. Research and development costs may be capitalized to the balance sheet. c. Intangible assets are amortized to expense on the income statement. d. Goodwill arises because of a company's positive corporate image among its customers.

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Foss Company bought land with a vacant building for \(\$ 400,000\). Foss will use the building in its operations. Must Foss allocate the purchase price between the land and building? Why or why not? Would your answer be different if Foss intends to raze the building and build a new one? Why or why not?

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