A machine that cost $225,000 has an estimated residual value of $15,000 and an estimated useful life of 15,000 machine hours. The company uses units-of-production depreciation and ran the machine 3,000 hours in year 1, 4,000 hours in year 2, and 5,000 hours in year 3. Calculate its book value at the end of year 3

Answer :

Answer:

$57,000

Explanation:

Step 1 : Depreciation Rate

Depreciation Rate = (Cost - Residual Value) ÷ Estimated Production

therefore,

Depreciation Rate = $14.00 per machine hour

Step 2 : Depreciation expenses

Depreciation expense = Depreciation Rate x Annual production

therefore

Year 1 = $42,000

Year 2 = $56,000

Year 3 = $70,000

Total    = $168,000

Step 3 : Book Value

Book Value = Cost - Accumulated Depreciation

                    = $225,000 - $168,000

                    = $57,000

Conclusion :

book value at the end of year 3 is $57,000

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