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 using the double-declining-balance method. Double-declining-balance Depreciation Annual Depreciation Expense Depreciation expense Choose Factors: Choose Factor(%) First year's depreciation Second year's depreciation
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 using the double-declining-balance method. Double-declining-balance Depreciation Annual Depreciation Expense Depreciation expense Choose Factors: Choose Factor(%) First year's depreciation Second year's depreciation
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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Transcribed Image Text:### Depreciation Calculation Using Double-Declining-Balance Method
**Scenario:**
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.
**Objective:**
Determine the machine's second-year depreciation using the double-declining-balance method.
**Table: Double-Declining-Balance Depreciation**
| | | | | |
|-----------------------------------------|------------------------------------|----------------|---------------------------------------|----------------------------------------|
| **Factor** | **Choose Factors:** | **x** | **Choose Factor (%)** | **= Annual Depreciation Expense** |
| **First year's depreciation** | | x | | = Depreciation expense |
| **Second year's depreciation** | | x | | = |
### Explanation of Table Components:
1. **Choose Factors:**
- This column indicates the selection of relevant factors for the double-declining-balance depreciation calculation.
2. **x:**
- This represents the multiplication operation between the chosen factors.
3. **Choose Factor (%):**
- Indicates the percentage factor used in the double-declining calculation.
4. **Annual Depreciation Expense:**
- This will show the resulting annual depreciation expense for both the first and second years based on the provided factors and the double-declining-balance method.
### Steps to Determine Depreciation:
1. **Determine the rate:**
- The straight-line depreciation rate is \( \frac{1}{20} = 0.05 \).
- The double-declining balance rate is \( 0.05 \times 2 = 0.10 \) or 10%.
2. **First Year's Depreciation:**
- Depreciation Expense = Book Value at Beginning of Year × Double-Declining Rate
- First Year's Depreciation = $83,600 × 0.10 = $8,360.
3. **Second Year's Depreciation:**
- The book value at the beginning of the second year = $83,600 - $8,360 = $75,240
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