Question
A machine costing $211,200 with a four-year life and an estimated $18,000 salvage value is installed in Luther Company’s factory on January 1. The factory manager estimates the machine will produce 483,000 units of product during its life. It actually produces the following units: 122,700 in Year 1, 123,200 in Year 2, 119,900 in Year 3, 127,200 in Year 4. The total number of units produced by the end of Year 4 exceeds the original estimate—this difference was not predicted. (The machine cannot be depreciated below its estimated salvage value.)
Required:
Compute depreciation for each year (and total depreciation of all years combined) for the machine under each depreciation method. (Round your per unit depreciation to 2 decimal places. Round your answers to the nearest whole dollar.)

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Answer #1

Solutions:

Depreciation Schedule - Straight Line
Year Depreciation Expense [($211,200-18,000)/4] Accumulated Depreciation Net Book Value
At Acquisition $2,11,200.00
1 $48,300.00 $48,300.00 $1,62,900.00
2 $48,300.00 $96,600.00 $1,14,600.00
3 $48,300.00 $1,44,900.00 $66,300.00
4 $48,300.00 $1,93,200.00 $18,000.00
Total $1,93,200.00

Depreciation per unit = (211200- 18000)/ 483000 = $0.40 per unit

Depreciation Schedule - Unit of Production
Year Depreciable units Depreciation per unit Depreciation Expense Accumulated Depreciation Net Book Value
At Acquisition $2,11,200.00
1 122700 $0.40 $49,080.00 $49,080.00 $1,62,120.00
2 123200 $0.40 $49,280.00 98,360.00 $1,12,840.00
3 119900 $0.40 $47,960.00 1,46,320.00 $64,880.00
4 117200 $0.40 $46,880.00 1,93,200.00 $18,000.00
Total 483000 $1,93,200.00
Depreciation Schedule - Double Declining Balance Method
DDB Depreciation for the Period End of Period
Year Beginning of period book value Depreciation Rate Depreciation expense Accumulated expense Book Value
1 $2,11,200 50% $1,05,600 1,05,600.00 1,05,600.00
2 $1,05,600 50% $52,800 1,58,400.00 52,800.00
3 $52,800 50% $26,400 1,84,800.00 26,400.00
4 $26,400 Balance $8,400 1,93,200.00 18,000.00
Total $1,93,200
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