
Concept explainers
a.
Calculate the
a.

Explanation of Solution
Depreciation expense:
Depreciation expense is a non-cash expense, which is recorded on the income statement reflecting the consumption of economic benefits of long-term asset on account of its wear and tear or obsolescence.
Straight-line depreciation method:
The depreciation method which assumes that the consumption of economic benefits of long-term asset could be distributed equally throughout the useful life of the asset, is referred to as straight-line method.
Compute the depreciation expense of machine per year using straight-line method.
The depreciation expense under the straight-line method is same for every year. Hence, $18,750 is the depreciation expense of the machine for all the four years.
b.
Calculate the depreciation expense for each year of the machine’s useful life under the double-declining balance method.
b.

Explanation of Solution
Double-declining-balance method:
The depreciation method which assumes that the consumption of economic benefits of long-term asset is high in the early years but gradually declines towards the end of its useful life is referred to as double-declining-balance method.
Compute the depreciation expense of machine for the first year using double-declining balance method.
Compute the depreciation expense of machine for the second year using double-declining balance method.
Compute the depreciation expense of machine for the third year using double-declining balance method.
Compute the depreciation expense of machine for the fourth year using double-declining balance method.
Working Note:
Compute the depreciation rate applied each year.
Useful life = 4 years
Note: Use 100% to represent depreciation in percentage. Multiply the depreciation rate with 2 as it is a double-declining method.
Hence, the depreciation expenses for the machine under the double-declining balance method for the four years are $40,000, $20,000, $10,000, and $5,000 respectively.
c.
Calculate the depreciation expense for each year of the machine’s useful life under the units-of-production balance method.
c.

Explanation of Solution
Units-of-production method:
The depreciation method which assumes that the consumption of economic benefits of long-term asset is based on the production capacity or output is referred to as units-of-production method.
Compute the depreciation expense of machine for the first year using units-of-production method.
Compute the depreciation expense of machine for the second year using units-of-production method.
Compute the depreciation expense of machine for the third year using units-of-production method.
Compute the depreciation expense of machine for the fourth year using units-of-production method.
Working Note:
Compute the depreciation rate per cutting.
Hence, the depreciation expenses for the machine under the units-of-production method for the four years are $15,000, $26,250, $19,500, and $14,250 respectively.
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