Question

On January 1, 2021, the Excel Delivery Company purchased a delivery van for $51,000. At the end of its five-year service life, it is estimated that the van will be worth $6,000. During the five-year period, the company expects to drive the van 171,000 miles. Required: Calculate annual depreciation for the five-year life of the van using the Units of production using miles driven as a measure of output, and the following actual mileage: (Do not round intermediate calculations.)



X Answer is complete but not entirely correct. Year Miles 11.000 2021 2022 2023 42.000 Depreciation 2.860 10.920 11.180 9.980
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Answer #1

Under units of production method, first we will calculate the rate per mile and then we will calculate the depreciation expense.

Rate per mile = Cost - Salvage value / Estimated miles

Estimated miles = 171000

Rate per mile = ($51000 - $6000) / 171000 = $45000 / 171000 = $0.263157894 per mile

In the next step, we will compute the depreciation expense as per below:

Depreciation expense = Rate per mile * Miles driven

Depreciation for 2021 :

Miles driven in 2021 was 11000, so

Depreciation for 2021 = $0.263157894 * 11000 = $2895

Depreciation for 2022 :

Miles driven in 2021 was 42000, so

Depreciation for 2021 = $0.263157894 * 42000 = $11053

Depreciation for 2023 :

Miles driven in 2023 was 43000, so

Depreciation for 2023 = $0.263157894 * 43000 = $11316

Depreciation for 2024 :

Miles driven in 2024 was 38000, so

Depreciation for 2021 = $0.263157894 * 38000 = $10000

Depreciation for 2025 :

Miles driven in 2025 was 39000, so

Depreciation for 2025 = $0.263157894 * 39000 = $10263

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