Final answer:
To calculate the depreciation expense for the equipment for the first year using the units-of-production method, the initial cost must be reduced by the salvage value to find the depreciable base, the per-unit depreciation must be calculated, and then multiplied by the units produced in the first year. The closest option to the calculated depreciation expense of $183,330 is not listed in the choices provided, which suggests a discrepancy or a need for additional information.
Step-by-step explanation:
To calculate the depreciation expense for the equipment in the first year using the units-of-production method, we need to follow these steps:
- Determine the cost to be depreciated (initial cost minus salvage value).
- Calculate the per-unit depreciation (cost to be depreciated divided by the total units of production estimated).
- Compute the depreciation expense for the first year (per-unit depreciation times the number of units produced that year).
Calculation:
Cost to be depreciated = $730,000 (equipment cost) - $17,000 (salvage value) = $713,000
Per-unit depreciation = $713,000 / 1,050,000 units = $0.679 per unit
Depreciation expense for first year = $0.679/unit x 270,000 units produced = $183,330
Therefore, the closest option to the calculated depreciation expense for the equipment in the first year is not listed among the choices provided. The provided choices are:
- a) $219,600
- b) $58,500
- c) $144,000
- d) $26,600
Since $183,330 is closest to option a), it could be that there is a discrepancy or that additional information is required to match any of the given choices.