Waterway Corporation purchased a new machine for its assembly process on August 1, 2020. The cost of this machine was $162,900. The company estimated that the machine would have a salvage value of $18,900 at the end of its service life. Its life is estimated at 5 years, and its working hours are estimated at 20,000 hours. Year-end is December 31.
Compute the depreciation expense under the following methods. Each of the following should be considered unrelated. (Round depreciation rate per hour to 2 decimal places, e. g. 5.35 for computational purposes. Round your answers to O decimal places, e. g. 45,892.)
(a) Straight-line depreciation for 2020
(b) Activity method for 2020, assuming that machine usage was 780 hours
(c) Sum-of-the-years'-digits for 2021
(d) Double-declining-balance for 2021

(a) Straight Line Depreciation for 2020 $  28,800

(b) Activity Method of Depreciation for 2020 $ 5,616

(c) Sum of the years Depreciation for 2021 $ 38,400

(d) Double declining balance depreciation for 2021 $ 39,096

Explanation:

Computation for requirement (a) - Straight Line Depreciation for 2020

Straight line method considers depreciation on adepreciable base after considering a salvage value and spreads it evenly over the life of the asset.

Cost of machine                                     $ 162,900

Estimated Salvage Value                       $   18.900

Depreciable Basis                                   $ 144,000

Estimated Life                                             5 years

Straight Line Depreciation for 2020 = $ 144,000/5 = $ 28,800      

Computation for requirement (b) - Activity Method  Depreciation for 2020

Activity method depreciation considers depreciation over the estimated usage of the asset and multiplies by the usage in a given period. The depreciable basis is after considering the salvage value.

Depreciable basis - same as SL depreciation                       $ 144,000

Usage Life of the machine                                                         20,000 hours

Machine usage for 2020                                                                  780 hours

Depreciation on a per hour basis      $ 144,000/ 20,000 = $ 7.2 per hour

Depreciation for 2020 on a usage of 780 hours = 780 * $7.20 = $ 5,616      

Computation for requirement (c) - Sum of the years digits for 2021    

In a sum of the years depreciation method, the sum of the life of the assets are added and considered as a depreciable life. The salvage value is considered in determining the depreciable basis.

Depreciable basis - same as SL depreciation                       $ 144,000            

Estimated life of the asset                                                      5 years

Sum of the years, (5+4+3+2+1)                                                  15

so the first year depreciation shall be 5/15, the next year 4/15 and so on,

We need to compute the depreciation for 2021 which is the second year, so the formula shall be:

4/15 (remaining useful life) * $ 144,000(depreciable basis) = $ 38,400

Computation for requirement (d) - Double declining balance  for 2021

In a double declining balance method the depreciation rate (%) is double that of a straight line method. The subsequent years depreciation is on a reduced balance. No salvage value is considered

The first year's depreciation is calculated

Cost of Machine* (2 * Straight Line depreciation %)

$ 162,900* (2 * 20 %) so the depreciation for 2020 would be

$ 162,900 * 40 % = $ 65,160.

For 2021, which is the requirement in our question, the cost would be the reduced value.

Original Cost of the machine                                    $ 162,900

Double Declining balance Depreciation  2020       $  65,160

Declining Cost basis for 2021 depreciation             $   97,740  

Depreciation @ 40 %                                                 $  39,096                                                    

rational decision making is a multi-step process for making choices between alternatives. the process of rational decision making favors logic, objectivity, and analysis over subjectivity and insight. the word “rational” in this context does not mean sane or clear-headed as it does in the colloquial sense.

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it is d i just took the test