Perdue Company purchased equipment on October 1 for $55,060. The equipment was expected to have a useful life of three years, or 7,600 operating hours, and a residual value of $1,860. The equipment was used for 1,400 hours during Year 1, 2,700 hours in Year 2, 2,300 hours in Year 3, and 1,200 hours in Year 4. Required:
Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by (a) the straight-line method, (b) units-of-output method, and (c) the double-declining-balance method.

$13,300 for each of the four years

Unit of output

$9800

$18900

$16100

$8400

double declining

27530

13765

6882.5

3441.25

Explanation:

Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

( $55,060 - $1,860) / 4 = $13,300 each year

Activity method based on hours worked = (hours worked that year / total hours of the machine) x  (Cost of asset - Salvage value)

( $55,060 - $1,860) / 7600 = 7

year 1 = 7 x 1400 = 9800

year 2 = 7 x 2700 = $18900

year 3 = 7 x 2300 = $16100

year 4 = 7 x 1200 = $8400

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor = 2 x (1/useful life) = 2/4 = 0.5

Year 1 = $55,060 x 0.5 = 27530

book value =  $55,060 - 27530 = 27530

year 2 = 27530 x 0.5 = 13765

book value = 27530 - 13765 =  13765

year 3 =  13765 x 0.5 = 6882.50