Questions: KLM Company purchased a Mixer Machine on January 2, 2018, for 14,500. The Mixer was expected to have a useful life of five (5) years and a residual value of 1,000. The company engineers estimated that the Mixer would have a useful life of 7,500 hours. It was used 1,500 hours in 2018, 2625 hours in 2019, 2250 hours in 2020, 750 hours in 2021, and 375 hours in 2022. KLM Company's year end is December 31. Required: 1. Compute the depreciation expense and carrying value for 2018 to 2022, using the following methods: (a) Straight-Line, (b) Production, (c) Double-Declining-Balance. 2. Prepare the adjusting entry to record the depreciation for 2008 that you calculated in 1(a), 1(b), and 1(c). (Three separate independent entries.) 3. Show Accumulated Depreciation Account (in T Account form) using all three (3) methods mentioned in 2 from 2018 to 2022. (Three separate independent accounts.) 4. Show the Balance Sheet presentation for the Mixer Machine after the entries in 2, under all three methods, on December 31, 2018. (Three separate independent presentations.) 5. Show the Balance Sheet presentation for the Mixer Machine after the entries in 2, under all three methods, on December 31, 2022. (Three separate independent presentations.) 6. What conclusions can you draw from the patterns of yearly depreciation?

KLM Company purchased a Mixer Machine on January 2, 2018, for 14,500. The Mixer was expected to have a useful life of five (5) years and a residual value of 1,000. The company engineers estimated that the Mixer would have a useful life of 7,500 hours. It was used 1,500 hours in 2018, 2625 hours in 2019, 2250 hours in 2020, 750 hours in 2021, and 375 hours in 2022. KLM Company's year end is December 31.  

Required:  
1. Compute the depreciation expense and carrying value for 2018 to 2022, using the following methods: (a) Straight-Line, (b) Production, (c) Double-Declining-Balance.  
2. Prepare the adjusting entry to record the depreciation for 2008 that you calculated in 1(a), 1(b), and 1(c). (Three separate independent entries.)  
3. Show Accumulated Depreciation Account (in T Account form) using all three (3) methods mentioned in 2 from 2018 to 2022. (Three separate independent accounts.)  
4. Show the Balance Sheet presentation for the Mixer Machine after the entries in 2, under all three methods, on December 31, 2018. (Three separate independent presentations.)  
5. Show the Balance Sheet presentation for the Mixer Machine after the entries in 2, under all three methods, on December 31, 2022. (Three separate independent presentations.)  
6. What conclusions can you draw from the patterns of yearly depreciation?
Transcript text: KLM Company purchased a Mixer Machine on January 2, 2018, for $14,500. The Mixer was expected to have a useful life of five (5) years and a residual value of $1,000. The company engineers estimated that the Mixer would have a useful life of 7,500 hours. It was used 1,500 hours in 2018, 2625 hours in 2019, 2250 hours in 2020, 750 hours in 2021, and 375 hours in 2022. KLM Company's year end is December 31. Required: 1. Compute the depreciation expense and carrying value for 2018 to 2022, using the following methods: (a) Straight-Line, (b) Production, (c) Double-Declining-Balance. 2. Prepare the adjusting entry to record the depreciation for 2008 that you calculated in 1(a), 1(b), and 1(c). (Three separate independent entries.) 3. Show Accumulated Depreciation Account (in T Account form) using all three (3) methods mentioned in 2 from 2018 to 2022. (Three separate independent accounts.) 4. Show the Balance Sheet presentation for the Mixer Machine after the entries in 2, under all three methods, on December 31, 2018. (Three separate independent presentations.) 5. Show the Balance Sheet presentation for the Mixer Machine after the entries in 2, under all three methods, on December 31, 2022. (Three separate independent presentations.) 6. What conclusions can you draw from the patterns of yearly depreciation?
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Solution

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Certainly! Let's address the problem step by step, following the guidelines provided.

1. Calculation of Depreciation
a. Straight-Line Method
  • Formula: \((\text{Cost} - \text{Residual Value}) / \text{Useful Life in Years}\)
  • Annual Depreciation Expense: \((\$14,500 - \$1,000) / 5 = \$2,700\)

| Year | Computation | Annual Deprec Exp | End Bal Accum Deprc | Carrying Value | |------|-------------|-------------------|---------------------|----------------| | 2018 | $2,700 | $2,700 | $2,700 | $11,800 | | 2019 | $2,700 | $2,700 | $5,400 | $9,100 | | 2020 | $2,700 | $2,700 | $8,100 | $6,400 | | 2021 | $2,700 | $2,700 | $10,800 | $3,700 | | 2022 | $2,700 | $2,700 | $13,500 | $1,000 |

b. Production Method
  • Formula: \((\text{Cost} - \text{Residual Value}) / \text{Total Estimated Hours} \times \text{Hours Used}\)
  • Depreciation Rate per Hour: \((\$14,500 - \$1,000) / 7,500 = \$1.80\)

| Year | Computation | Annual Deprec Exp | End Bal Accum Deprc | Carrying Value | |------|-------------|-------------------|---------------------|----------------| | 2018 | $1.80 x 1,500 | $2,700 | $2,700 | $11,800 | | 2019 | $1.80 x 2,625 | $4,725 | $7,425 | $7,075 | | 2020 | $1.80 x 2,250 | $4,050 | $11,475 | $3,025 | | 2021 | $1.80 x 750 | $1,350 | $12,825 | $1,675 | | 2022 | $1.80 x 375 | $675 | $13,500 | $1,000 |

c. Double-Declining-Balance Method
  • Formula: \((2 / \text{Useful Life in Years}) \times \text{Book Value at Beginning of Year}\)
  • Rate: \(2 \times (1/5) = 40\%\)

| Year | Computation | Annual Deprec Exp | End Bal Accum Deprc | Carrying Value | |------|-------------|-------------------|---------------------|----------------| | 2018 | 40% x $14,500 | $5,800 | $5,800 | $8,700 | | 2019 | 40% x $8,700 | $3,480 | $9,280 | $5,220 | | 2020 | 40% x $5,220 | $2,088 | $11,368 | $3,132 | | 2021 | 40% x $3,132 | $1,252.80 | $12,620.80 | $1,879.20 | | 2022 | $879.20 (to reach $1,000) | $879.20 | $13,500 | $1,000 |

2. Adjusting Entries for 2018
  • Straight-Line:

    • Debit: Depreciation Expense $2,700
    • Credit: Accumulated Depreciation $2,700
  • Production:

    • Debit: Depreciation Expense $2,700
    • Credit: Accumulated Depreciation $2,700
  • Double-Declining-Balance:

    • Debit: Depreciation Expense $5,800
    • Credit: Accumulated Depreciation $5,800
3. Accumulated Depreciation Account (T Account)
  • Straight-Line:

    • 2018: $2,700
    • 2019: $5,400
    • 2020: $8,100
    • 2021: $10,800
    • 2022: $13,500
  • Production:

    • 2018: $2,700
    • 2019: $7,425
    • 2020: $11,475
    • 2021: $12,825
    • 2022: $13,500
  • Double-Declining-Balance:

    • 2018: $5,800
    • 2019: $9,280
    • 2020: $11,368
    • 2021: $12,620.80
    • 2022: $13,500
4. Balance Sheet Presentation on December 31, 2018
  • Straight-Line:

    • Cost: $14,500
    • Less: Accumulated Depreciation: $2,700
    • Carrying Value: $11,800
  • Production:

    • Cost: $14,500
    • Less: Accumulated Depreciation: $2,700
    • Carrying Value: $11,800
  • Double-Declining-Balance:

    • Cost: $14,500
    • Less: Accumulated Depreciation: $5,800
    • Carrying Value: $8,700
5. Balance Sheet Presentation on December 31, 2022
  • Straight-Line:

    • Cost: $14,500
    • Less: Accumulated Depreciation: $13,500
    • Carrying Value: $1,000
  • Production:

    • Cost: $14,500
    • Less: Accumulated Depreciation: $13,500
    • Carrying Value: $1,000
  • Double-Declining-Balance:

    • Cost: $14,500
    • Less: Accumulated Depreciation: $13,500
    • Carrying Value: $1,000
6. Conclusions from Depreciation Patterns
  • Straight-Line: Provides a consistent expense each year, which is simple and predictable.
  • Production: Matches expense with usage, which is ideal for assets where wear and tear are usage-dependent.
  • Double-Declining-Balance: Accelerates depreciation, which can be beneficial for tax purposes and reflects higher early-year usage.

Each method has its advantages depending on the company's financial strategy and the nature of the asset's use.

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