Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $83,600. The machine's useful life is estimated at 20 years, or 398,000 units of product, with a $4,000 salvage value. During its second year, the machine produces 33,800 units of product. Determine the machine's second-year depreciation and year end book value under the straight-line method. Straight-Line Depreciation Annual Depreciation Expense Choose Numerator: / Choose Denominator: = Depreciation expense Year 2 Depreciation Year end book value (Year 2)
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $83,600. The machine's useful life is estimated at 20 years, or 398,000 units of product, with a $4,000 salvage value. During its second year, the machine produces 33,800 units of product. Determine the machine's second-year depreciation and year end book value under the straight-line method. Straight-Line Depreciation Annual Depreciation Expense Choose Numerator: / Choose Denominator: = Depreciation expense Year 2 Depreciation Year end book value (Year 2)
Chapter1: Financial Statements And Business Decisions
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
Transcribed Image Text:### Determining Depreciation and Book Value
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $83,600. The machine's useful life is estimated at 20 years or 398,000 units of product, with a $4,000 salvage value. During its second year, the machine produces 33,800 units of product.
Determine the machine’s second-year depreciation and year-end book value under the straight-line method.
#### Straight-Line Depreciation
| Choose Numerator: | / | Choose Denominator: | = | Annual Depreciation Expense |
|----------------------------------|---|---------------------------------|---|--------------------------------|
| | / | | = | Depreciation expense |
| | / | |
| | / | |
| Year 2 Depreciation | |
| Year end book value (Year 2) | |
**Explanation:**
1. **Choose Numerator:** Identify the cost of the machine and subtract the salvage value.
- Formula: (Cost of Machine - Salvage Value)
2. **Choose Denominator:** Identify the useful life of the machine in years.
- Formula: Useful Life in Years
3. **Annual Depreciation Expense:** Divide the numerator by the denominator to calculate yearly depreciation.
- Formula: (Cost of Machine - Salvage Value) / Useful Life in Years
4. **Year 2 Depreciation:** Enter the calculated annual depreciation expense.
5. **Year End Book Value (Year 2):** Subtract the cumulative depreciation (up to Year 2) from the initial cost of the machine.
- Formula: (Initial Cost of Machine – (Annual Depreciation Expense * Number of Years))
Using the details provided:
- **Cost of Machine:** $83,600
- **Salvage Value:** $4,000
- **Useful Life:** 20 years
Calculation:
1. **Numerator:** \( 83,600 - 4,000 = 79,600 \)
2. **Denominator:** \( 20 \)
3. **Annual Depreciation Expense:** \( 79,600 / 20 = 3,980 \)
Therefore:
- **Year 2 Depreciation:** \( 3,980 \)
- **Year End Book Value (Year 2):** \( 83
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