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A three-year-old machine that has a cost of $51,100, an estimated residual value

ID: 2447279 • Letter: A

Question

A three-year-old machine that has a cost of $51,100, an estimated residual value of $2,100, and an estimated useful life of 35,000 machine hours. The company uses units-of production depreciation and ran the machine 5,000 hours in year 1; 7,150 hours in year 2; and 8,400 hours in year 3.

Calculate the net book value at the end of the third year.

A three-year-old machine that has a cost of $51,100, an estimated residual value of $2,100, and an estimated useful life of 35,000 machine hours. The company uses units-of production depreciation and ran the machine 5,000 hours in year 1; 7,150 hours in year 2; and 8,400 hours in year 3.

Calculate the net book value at the end of the third year.

Explanation / Answer

Depreciation =   cost of the machine - estimated value / no of useful life of the asset

                          =   $51,100 - 2,100 / 35000 machine hours

                         = $1.4 / machine hour

                                                                                                         Year 1               Year 2                 Year 3

Depreciation    

Machine hours run 5000    7150    8400

Depreciation $ 7000    10010 11760            

( $1.4 hour x no of machine hours run)

Net book value                                                                              Year 1                 Year 2              Year 3

Cost of the machine                                                                   $ 51,100              $44,100          $34090

less depreciation                                                                         $ 7,000              $10010           $11760

Net book value                                                                             $ 44,100              $34090           $22330

The net book value at the end of the third year is $22330.

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