Answer:
Straight line :
Depreciation expense each of the four years is $57,200
total depreciation = $228,800
Double declining :
Year 1 = $124,700
Year 2 = $62350
Year 3 = $31,175
Year 4 = $15,588
Total depreciation expense = $233,813
Activity based depreciation
year 1 = $80,080
year 2 = $48,048
year 3 = $64,064
year 4 = $36,608
Total depreciation expense = $288,800
the deprecation method that yields the highest depreciation expense in year 1 is the double declining method
Explanation:
Straight line depreciation expense = (Cost of asset - Salvage value) / useful life
($249,400 - $20,600) / 4 = $57,200
Depreciation expense each of the four years is $57,200
total depreciation = $57,200 x 4 = $228,800
Depreciation expense using the double declining method = Depreciation factor x cost of the asset
Depreciation factor = 2 x (1/useful life) = 2/4
Year 1 = 2/4 x $249,400 = 124,700
book value = $249,400 - 124,700 = 124,700
Year 2 = 2/4 x 124,700 = 62350
Book value = 124,700 - 62350 = 62350
Year 3 = 2/4 x 62350 = 31,175
book value = 62350 - 31,175 = 31,175
Year 4 = 2/4 x 31,175 = 15,587.50
Addition of the depreciation expenses = $233,812.50
Activity method based on hours worked = (hours worked that year / total hours of the machine) x (Cost of asset - Salvage value)
($249,400 - $20,600) / 8,800 = 26
year 1 = 26 x 3,080 = $80,080
year 2 = 26 x 1,848 = $48,048
year 3 = 26 x 2,464 = $64,064
year 4 = 26 x 1,408 = $36,608
Addition of the depreciation expenses = $288,800
