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Answer:
Straight line depreciation
Depreciation expense Book Value at the End of Year 1 $13800 $60,200
Year 2 $13800 $46,400
Units of production
Depreciation expense Book Value at the End of Year 1 $18400 $55,600
Year 2 $20,700 $34,900
Double declining balance
Depreciation expense Book Value at the End of Year 1 $29600 $44,400
Year 2 $17,760 $26,640
2. Double-declining-balance
3. Units-of-production
4. Straight-line
Explanation
Straight line depreciation expense = (Cost of asset - Salvage value) / useful life
($74,000 - $5000) / 5 = $13800
Depreciation expense each year would be $13800
Book value = cost of asset - depreciation
Book value in year 1 = $74,000 - $13800 = $60,200
Book value in year 2 = $60,200 - $13800 = $46,400
Unit of production = (total output that year / total output of the machine) x (Cost of asset - Salvage value)
Deprecation expense in year 1 = (44,000 / 165,000) x ($74,000 - $5000) = $18400
Deprecation expense in year 2 = (49,500 / 165,000) x ($74,000 - $5000) = $20700
Book value in year 1 = $74,000 - $18,400 = $55,600
Book value in year 2 = $55,600 - $20700 = $34,900
Depreciation expense using the double declining method = Depreciation factor x cost of the asset
Depreciation factor = 2 x (1/useful life) = 2/5 = 0.4
Deprecation expense in year 1 = 0.4 x $74,000 = $29600
Book value in year 1 = $74,000 - $29600 = $44,400
Deprecation expense in year 2 = 0.4 x $44,400 = $17,760
Book value in year 2 = $44,400 - $17,760 = $26,640
Net income is revenue less cost of goods sold, general expenses, taxes, depreciation and interest.
The method that would yield the lowest net income in year 1 is the method that yields the highest deprecation expense in year 1. This is the double declining method
The Units-of-production would yield the lowest net income in year 2 because it has the highest depreciation expense
Fixed asset turnover = revenue / average net fixed assets
average net fixed assets = cost of asset - accumulated depreciation
the higher the average net fixed asset, the lower the fixed asset turnover. The depreciation method that yields the lowest depreciation expense in year 1 would have the lowest fixed asset turnover ratio. This is the straight line method
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