Answer and Explanation:
The computation of the depreciation expense for the first year and the second year is shown below:
a) Straight-line method:
= (Original cost - residual value) ÷ (useful life)
= ($48,700,000 - $4,700,000) ÷ (5 years)
= ($44,000,000) ÷ (5 years)
= $8,800,000
In this method, the depreciation is the same for all the remaining useful life
So for the 2017 and 2018 the depreciation of $8,800,000 is separately charged
(b) Units-of-production method:
= (Original cost - residual value) ÷ (estimated production)
= ($48,700,000 - $4,700,000) ÷ ($7,300,000 miles)
= ($44,000,000) ÷ ($7,300,000 miles)
= $6.02 per miles
Now for the 2017, it would be
= Miles in first year × depreciation per miles
= 925,000 miles × $6.02
= $5,568,500
And for the 2018, it is
= Miles in second year × depreciation per miles
= 1,200,000 miles × $6.02
= $7,224,000
(b) Double-declining balance method:
First we have to find the depreciation rate which is shown below:
= One ÷ useful life
= 1 ÷ 5
= 20%
Now the rate is double So, 40%
In year 2017, the original cost is $48,700,000, so the depreciation is $19,480,000 after applying the 40% depreciation rate
And, in year 2018, the ($48,700,000 - $19,480,000) × 40% = $11,688,000
