Perdue company purchased equipment on april 1, 2014, for $270,000. the equipment was expected to have a useful life of three years, or 18,000 operating hours, and a residual value of $9,000. the equipment was used for 7,500 hours during 2014, 5,500 hours in 2015, 4,000 hours in 2016, and 1,000 hours in 2017.required: determine the amount of depreciation expense for the years ended december 31, 2014, 2015, 2016, and 2017, by (a) the straight-line method, (b) units-of-output method, and (c) the double-declining-balance method. note: for declining balance only, round the answer for each year to the nearest whole dollar. a. straight-line methodyear amount2014 $65,2502015 $87,0002016 $87,0002017 $21,750

Straight line:

2014 $ 65,250  

2015 $  87,000  

2016 $  87,000  

2017 $   21,750

units-of-output method:

2014 $ 108,750

2015 $   79,750

2016 $  58,000

2017  $   14,500

dobule declining method

2014  135,000  

2015  45,000  

2016  15,000  

2017  9,000  

Explanation:

Straight line:

(cost - salvage value) / useful life

(270,000 - 9,000)/3 = 87,000 per complete year

First year: from April 1st to December 31th

87,000 x 9/12 = 65,250

Second and third year are complete year thus, 87,000

fourth year: from Jan 1st to March 31th:

87,000 x 3/12 = 21,750

units-of-output method:

(cost - salvage value) / unit of output

261,000 / 18,000 = 14.5 per hour

We multiply each year hours by this rate

7,500 x 14.5 = 108,750

5,500x 14.5 =   79,750

4,000x 14.5 =   58,000

1,000 x 14.5 =   14,500

double declining

we multiply by twice the rate of of straight line:

1/3 x 2 = 2/3 we depreciate this amount of the carrying vbalue per year

Last year we adjust to obtain the residual value

Year   Beginning   Rate   Dep expense   Carrying value

2014     270,000     0.50     135,000     135,000  

2015     135,000     0.67     90,000     45,000  

2016     45,000     0.67     30,000     15,000  

2017     15,000                6,000      9,000  

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