A machine that cost $100,000 has an estimated residual value of $10,000 and an estimated useful life of 10,000 machine hours. The company uses units-of-production depreciation and ran the machine 1,000 hours in year 1, 2,000 hours in year 2, and 4,000 hours in year 3. Calculate its book value at the end of year 3.

$37,000

Explanation:

Depreciation expense = Depreciation factor x total machine hour per year

Depreciation factor = (Cost of asset - residual value ) / useful life

($100,000 - $10,000) / 10,000 = $9

Depreciation expense in year 1 = $9 × 1000 = $9000

Deprecation expense in year 2 = $9 × 2000 = $18,000

Deprecation expense in year 3 = $9 x 4000 = $36,000

Total depreciation expense = $36,000 + $18,000 + $9,000 = $63,000

Net book value = $100,000 - $63,000 = $37,000

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