Final answer:
The depreciation charge for 2024 is $4,000 using the straight-line method and $66,250 using the units-of-production method.
Step-by-step explanation:
To calculate the depreciation charge for 2024, we need to determine the depreciation expense using the straight-line method and the units-of-production method.
Straight-Line Method:
Calculate the depreciable cost by subtracting the estimated residual value from the initial cost: $417,000 - $17,000 = $400,000.
Divide the depreciable cost by the useful life in years: $400,000 / 10 = $40,000 per year.
Multiply the annual depreciation expense by the proportion of hours used in 2024: $40,000 * (2,000 / 20,000) = $4,000.
Units-of-Production Method:
- Calculate the depreciable cost per unit by subtracting the estimated residual value from the initial cost and dividing by the total units of production: ($417,000 - $17,000) / 160,000 = $2.50 per unit.
- Multiply the depreciable cost per unit by the actual units produced in 2024: $2.50 * 26,500 = $66,250.
Therefore, the depreciation charge for 2024 is $4,000 using the straight-line method and $66,250 using the units-of-production method.