Question

A machine costing $214,600 with a four year life and an estimated $17,000 salvage life is installed in Luther Company's factory on January 1. The factory manager estimates the machine will produce 494,000 units of product during its life. It actually produces the following units: 122,800 in 1st year, 123,500 in 2nd year, 120,700 in 3rd year, 137,000 in 4th year. The total number of units produced by the end of year 4
exceeds the original estimate- this difference was not predicted. (The machine must not 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

Answer::

1) Depreciation Under Straight Line Method:

Depreciation Rate = 1\divUseful Life = 1\div 4 = 0.25 or 25%

Depreciable Cost = Cost - Salvage Value = $214,600 - $17,000 = $197,600

Depreciation Expense = Depreciable Cost \times Depreciation Rate = 197,600 \times 25% = $49,400

Year Depreciation Expense
1 $49,400
2 $49,400
3 $49,400
4 $49,400
Total $197,400

2) Depreciation Under Units of Production Method:

Depreciable Cost = $197,600

Total Estimated Production units during estimated life = 122,800 + 123,500 +120,700 +137,000 = 504,000 units

Depreciation per unit = Depreciable Cost  \div Total estimated production units

= $197,600 \div 504,000 = $0.3926 = $0.39 (as per instructions)

Year Depreciable unit Depreciation per unit Depreciation Expense
1 122,800 0.39 $47,892
2 123,500 0.39 $48,165
3 120,700 0.39 $47,073
4 137,000 0.39 $53,430
Total 504,000 196,560

Note: Due to taking depreciation per unit to two decimal places, the Depreciation expense 197,560 is not equal to $197,600

3) Depreciation Under Double Declining Balance Method:

Double Declining rate = (1\div4)\times 2 = 0.5 or 50%

Year Beg. Book Value Dep. Rate Dep. Expense Acc. Dep. Book Value
1 $214,600 50% $107,300 $107,300 $107,300
2 $107,300 50% $53,650 $160,950 $53,650
3 $53,650 50% $26,825 $187,775 $26,825
4 $26,825 50% $ 9,825** $197,600 $17,000
Total $197,600 $17,000

** Note: For 4th year depreciation would be the difference of beginning and ending book value of assets.

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