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On January 1, 2018, Busy Beaver bought a new industrial lathe for $210,000. It expects to use the lathe for 10,000 hours over the next 5 years and then sell it for $10,000. Busy Beaver used the lathe for 2,000 hours in 2018 and 2,500 hours in 2019.

Calculate the accumulated depreciation at December 31, 2019, using the units-of-production method.

Answer :

Final answer:

We first need to find the depreciable cost, which is $200,000. Then, calculate depreciation per unit as $20 per hour. After determining the total hours used for 2018 and 2019 (4,500 hours), we find the accumulated depreciation to be $90,000.

Explanation:

To calculate the accumulated depreciation, first find out the depreciable cost, which is the acquisition cost minus the salvage value. In this case, the cost of the lathe is $210,000 and the salvage value is $10,000. Therefore, the depreciable cost = $210,000 - $10,000 = $200,000. Then, to find the depreciation per unit, divide the depreciable cost by the total expected use of the asset, in this case, 10,000 hours. Thus, depreciation per unit = $200,000 / 10,000 hours = $20 per hour. As Busy Beaver used the lathe for 2,000 hours in 2018 and 2,500 hours in 2019, the total hours of use over the two years is 2,000 + 2,500 = 4,500 hours. Therefore, the accumulated depreciation at December 31, 2019 = 4,500 hours * $20/hour = $90,000.

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Answer:

$90,000

Explanation:

For computing the accumulated depreciation, first we have to determine the depreciation expense which is shown below:

= (Original cost - residual value) ÷ (estimated production)

= ($210,000 - $10,000) ÷ ($10,000 hours)

= ($200,000) ÷ ($10,000 hours)

= $20

Now for the first year, it would be

= Production hours in first year × depreciation per hours

= 2,000 hours × $20

= $40,000

And, for the second year,

= Production hours in second year × depreciation per hours

= 2,500 hours × $20

= $50,000

So, the accumulated depreciation would be

= $40,000 + $50,000

= $90,000