Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 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 %3!

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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### Depreciation Calculation Using Double-Declining-Balance Method

**Context:**
Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 units of product.

**Objective:**
Determine the machine’s second-year depreciation using the double-declining-balance method.

**Steps for Calculation:**

1. **Calculate the Depreciation Rate:**
   The double-declining-balance method applies depreciation at double the straight-line rate.

   - Straight-line rate = 1 / Useful life
   - Double-declining-balance rate = 2 x Straight-line rate

2. **Determine First Year’s Depreciation:**
   - Apply the double-declining-balance rate on the initial cost (not reducing for salvage value).

3. **Determine Second Year’s Depreciation:**
   - Subtract the first year’s depreciation from the original cost to get the book value at the beginning of the second year.
   - Apply the double-declining-balance rate to this book value for the second year’s depreciation.

**Table Explanation:**

| Double-declining-balance Depreciation |                             |                      | Annual Depreciation Expense |
|---------------------------------------|-----------------------------|----------------------|----------------------------|
| **Choose Factors:**                   | **x**                       | **Choose Factor(%):**|                            |
| First year's depreciation             |                             | Depreciation expense |                            |
| Second year's depreciation            |                             |                      |                            |

- The table provides a structured way to fill in and calculate the necessary factors and annual depreciation expenses.
- In each row, the given book value and calculated rate are multiplied to derive the depreciation expense for that specific year.

### Example:

1. **Straight-line rate calculation:**
   Since the machine has a useful life of 20 years:
   \[
   \text{Straight-line rate} = \frac{1}{20} = 0.05 \text{ or } 5\%
   \]
   Therefore, the double-declining-balance rate:
   \[
   2 \times 5\% = 10\%
   \]

2. **First Year Depreci
Transcribed Image Text:### Depreciation Calculation Using Double-Declining-Balance Method **Context:** Ramirez Company installs a computerized manufacturing machine in its factory at the beginning of the year at a cost of $84,600. The machine's useful life is estimated at 20 years, or 393,000 units of product, with a $6,000 salvage value. During its second year, the machine produces 33,300 units of product. **Objective:** Determine the machine’s second-year depreciation using the double-declining-balance method. **Steps for Calculation:** 1. **Calculate the Depreciation Rate:** The double-declining-balance method applies depreciation at double the straight-line rate. - Straight-line rate = 1 / Useful life - Double-declining-balance rate = 2 x Straight-line rate 2. **Determine First Year’s Depreciation:** - Apply the double-declining-balance rate on the initial cost (not reducing for salvage value). 3. **Determine Second Year’s Depreciation:** - Subtract the first year’s depreciation from the original cost to get the book value at the beginning of the second year. - Apply the double-declining-balance rate to this book value for the second year’s depreciation. **Table Explanation:** | Double-declining-balance Depreciation | | | Annual Depreciation Expense | |---------------------------------------|-----------------------------|----------------------|----------------------------| | **Choose Factors:** | **x** | **Choose Factor(%):**| | | First year's depreciation | | Depreciation expense | | | Second year's depreciation | | | | - The table provides a structured way to fill in and calculate the necessary factors and annual depreciation expenses. - In each row, the given book value and calculated rate are multiplied to derive the depreciation expense for that specific year. ### Example: 1. **Straight-line rate calculation:** Since the machine has a useful life of 20 years: \[ \text{Straight-line rate} = \frac{1}{20} = 0.05 \text{ or } 5\% \] Therefore, the double-declining-balance rate: \[ 2 \times 5\% = 10\% \] 2. **First Year Depreci
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