Question

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.

Answer 1

The depreciation expense for year 1 is $54,000, for year 2 is $144,000, and for year 3 is $108,000.

Step-by-step explanation:

To calculate the depreciation expense using the units-of-production method, we need to determine the depreciation rate per machine hour.

Step 1: Calculate the depreciable cost.

Depreciable cost = Cost of the machine - Residual value

Depreciable cost = $400,000 - $40,000

Depreciable cost = $360,000

Step 2: Calculate the depreciation rate per machine hour.

Depreciation rate per machine hour = Depreciable cost / Estimated machine hours of useful life

Depreciation rate per machine hour = $360,000 / 20,000 machine hours

Depreciation rate per machine hour = $18

Step 3: Calculate the depreciation expense for each year.

Year 1: 3,000 machine hours

Depreciation expense = Depreciation rate per machine hour * Hours in year 1

Depreciation expense = $18 * 3,000

Depreciation expense = $54,000

Year 2: 8,000 machine hours

Depreciation expense = Depreciation rate per machine hour * Hours in year 2

Depreciation expense = $18 * 8,000

Depreciation expense = $144,000

Year 3: 6,000 machine hours

Depreciation expense = Depreciation rate per machine hour * Hours in year 3

Depreciation expense = $18 * 6,000

Depreciation expense = $108,000

Therefore, the depreciation expense for year 1 is $54,000, for year 2 is $144,000, and for year 3 is $108,000.

Hope this helps!