Question

Dexter Industries purchased packaging equipment on January 8 for $98,000. The equipment was expected to have a useful life of three years, or 20,000 operating hours, and a residual value of $6,000. The equipment was used for 8,980 hours during Year 1, 6,930 hours in Year 2, and 4,090 hours in Year 3. Required: 1. Determine the amount of depreciation expense for the three years ended December 31 by (a) the straight-line method, (b) the units-of-activity method, and (c) the double-declining-balance method. Also determine the total depreciation expense for the three years by each method. (Note: For STRAIGHT-LINE ONLY, round the first two years to the nearest whole dollar, then round the third year as necessary. For DECLINING BALANCE ONLY, round the multiplier to five decimal places. Then round the answer for each year to the nearest whole dollar.) 2. What method yields the highest depreciation expense for Year 1? 3. What method yields the most depreciation over the three-year life of the equipment?

Answer 1

Answer:

1.

a. $30,667

a.1. $92,001

b. $41,308

b.1. $92,000

c. $65,334

c.1. $94,370

2.The method that yields the highest depreciation on year 1 is Double declining balance, in the amount of $65,334

3. The method that yields the most depreciation the 3 years is Double declining balance in the total amount of $94,370

Explanation:

1. A (straight line method)

(98,000-6,000) / 3 years = 30,667

A.1. 30,667 x 3 years = 92,001

B. (Units-of-activity method)

Formula : [(cost - salvage value) x hours for the preiod] / total eatimated hours

[(98,000-6,000) x 8,980 ] / 20,000

41,308

B.1. Year 1

[(98,000 -6,000) x 8,980] / 20,000

41,308

Year 2

[(98,000-6,000) x 6,930] / 20,000

31,878

Year 3

[(98,000-6,000) x 4,090] / 20,000

18,814

Thus, 41,308 + 31,878 + 18,814 = 92,000

C. (double declining method)

formula : 100% / years x 2

100%/3 x 2 = 66.67%

98,000 x .66667 = 65,334

C.1. Year 1 = 65,334

Year 2

(98,000 - 65,334) x .66667 =21,777

Year 3

(98,000 - 65,334 - 21,777) x .66667 = 7,259

Thus, 65,334 + 21,777 + 7,259 =94,370