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A machine that cost $400,000 has an estimated residual value of $40,000 and an estimated useful life of 20,000 machine hours. The company uses units-of-production depreciation and ran the machine 3,000 hours in year 1, 8,000 hours in year 2, and 6,000 hours in year 3. Required:Calculate its book value at the end of year 3

Question

A machine that cost 400,000hasanestimatedresidualvalueof400,000 has an estimated residual value of 40,000 and an estimated useful life of 20,000 machine hours. The company uses units-of-production depreciation and ran the machine 3,000 hours in year 1, 8,000 hours in year 2, and 6,000 hours in year 3. Required:Calculate its book value at the end of year 3

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Solution

To calculate the book value at the end of year 3, we first need to calculate the depreciation per unit (hour in this case).

Step 1: Calculate Depreciation per Unit Depreciation per unit = (Cost of Machine - Residual Value) / Useful Life in Hours Depreciation per unit = (400,000400,000 - 40,000) / 20,000 hours Depreciation per unit = $0.18 per hour

Step 2: Calculate Total Depreciation for Each Year Year 1 Depreciation = 3,000 hours * 0.18/hour=0.18/hour = 540 Year 2 Depreciation = 8,000 hours * 0.18/hour=0.18/hour = 1,440 Year 3 Depreciation = 6,000 hours * 0.18/hour=0.18/hour = 1,080

Step 3: Calculate Accumulated Depreciation at the End of Year 3 Accumulated Depreciation = Year 1 Depreciation + Year 2 Depreciation + Year 3 Depreciation Accumulated Depreciation = 540+540 + 1,440 + 1,080=1,080 = 3,060

Step 4: Calculate Book Value at the End of Year 3 Book Value = Cost of Machine - Accumulated Depreciation Book Value = 400,000400,000 - 3,060 = $396,940

So, the book value of the machine at the end of year 3 is $396,940.

This problem has been solved

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