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A new machine costing $1,800,000 cash and estimated to have a $60,000 salvage value was purchased on January 1. The machine is expected to produce 600,000 units of product during its 8-year useful life. Calculate the depreciation expense in the first year under the following independent situations: The company uses the units-of-production method and the machine produces 70,000 units of product during its first year. The company uses the double-declining-balance method. The company uses the straight-line method.

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Answer:

Results are below.

Explanation:

Giving the following formula:

Purchase price= $1,800,000

Salvage value= $60,000

Useful life= 8 years or 600,000 units

To calculate the annual depreciation using the units-of-production method, we need to use the following formula:

Annual depreciation= [(original cost - salvage value)/useful life of production in units]*units produced

Annual depreciation= [(1,800,000 - 60,000) / 600,000]*70,000

Annual depreciation= $203,000

To calculate the annual depreciation using the double-declining balance, we need to use the following formula:

Annual depreciation= 2*[(book value)/estimated life (years)]

Annual depreciation= 2*[(1,800,000 - 60,000) / 8]

Annual depreciation= $435,000

Finally, the annual depreciation using the straight-line method:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation=  (1,800,000 - 60,000) / 8

Annual depreciation= $217,500

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