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Computing depreciation—three methods Crispy Fried Chicken bought equipment on January 2, 2018, for \(33,000. The equipment was expected to remain in service for four years and to operate for 6,750 hours. At the end of the equipment’s useful life, Crispy’s estimates that its residual value will be \)6,000. The equipment operated for 675 hours the first year, 2,025 hours the second year, 2,700 hours the third year, and 1,350 hours the fourth year.

Requirements

1. Prepare a schedule of depreciation expense, accumulated depreciation, and book value per year for the equipment under the three depreciation methods: straight-line, unit’s of-production, and double-declining-balance. Show your computations. Note: Three depreciation schedules must be prepared.

2. Which method tracks the wear and tear on the equipment most closely?

Short Answer

Expert verified

A unit of production method is most appropriate.

Step by step solution

01

Meaning of Depreciation

The expenses charged in the income statement to report the decline in the value of the fixed assets acquired by the company are known as depreciation expenses.

02

Calculating of Depreciation on Crispy’s Equipment

Straight-line method:

Year

Cost

Depreciation expenses

Accumulated Depreciation

Book value/Ending value

2018

$33,000

$6,750

$6,750

$26,250

2019

$33,000

$6,750

$13,500

$19,500

2020

$33,000

$6,750

$20,250

$12,750

2021

$33,000

$6,750

$27,000

$6,000

Working note:

Calculation of depreciation expenses

Depreciationexpenses=Cost−SalvagevalueUsefullifeinyears=$33,000−$6,0004=$6,750

  1. Units of production method:

Year

Cost

Depreciation expenses

Accumulated Depreciation

Book value/Ending value

2018

$33,000

$2,700

$2,700

$30,300

2019

$33,000

$8,100

$10,800

$22,200

2020

$33,000

$10,800

$21,600

$11,400

2021

$33,000

$5,400

$27,000

$6,000

Working note:

Calculation of depreciation expenses per hour:

Depreciationexpenses=Cost−SalvagevalueUsefullifeinhours=$33,000−$6,0006,750=$4perhour

Calculation of depreciation expenses per year:

Year

Number of hours

X

Per hour rate

=

Depreciation expenses

2018

675

X

$4

=

$2,700

2019

2,025

X

$4

=

$8,100

2020

2,700

X

$4

=

$10,800

2021

1,350

X

$4

=

$5,400

  1. Double declining method:

Year

Cost

Depreciation expenses

Accumulated Depreciation

Book value/Ending value

2018

$33,000

$8,250

$8,250

$24,750

2019

$33,000

$6,187.5

$14,437.5

$18,562.5

2020

$33,000

$4,640

$19,077.5

$13,922.5

2021

$33,000

$3,480

$22,557

$10,443

Working note:

Calculation of rate of depreciation:

Depreciationrate=1Usefullife×100=14×100=25%

Calculation of depreciation expenses:

Year

Depreciation rate

X

Cost/Ending value

=

Depreciation expenses

2018

25%

X

$33,000

=

$8,250

2019

25%

X

$24,750

=

$6,187.5

2020

25%

X

$18,562.5

=

$4,640

2021

25%

X

$13,922.5

=

$3,480

03

Appropriate depreciation method

The most appropriate method of allocating depreciation expense is the units of production method because under this method the depreciation is allocated on the basis of the number of hours for which the machine is used. Therefore, it will provide more relevant depreciation expenses.

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