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Irwin, Inc., constructed a machine at a total cost of $68 million. Construction

ID: 2476397 • Letter: I

Question

Irwin, Inc., constructed a machine at a total cost of $68 million. Construction was completed at the end of 2012 and the machine was placed in service at the beginning of 2013. The machine was being depreciated over a 10-year life using the sum-of-the-years’-digits method. The residual value is expected to be $2 million. At the beginning of 2016, Irwin decided to change to the straight-line method. Ignoring income taxes, prepare the journal entry relating to the machine for 2016.

I know I need to debit depreciation expense and credit accumulated depreciation - but I can't figure the numbers out even after looking at and following several examples on Chegg. So, can someone please help me and provide an explanation?

Explanation / Answer

Answer

Sum of years digit method

Figures in $

In millions

Year

Asset base

Depreciation rate

Depreciation

Accumulated Depreciation

A

B

(68-2)

A*B

1

2013

66

10/55

0.181818

12

12

2

2014

66

9/55  

0.163636

10.8

22.8

3

2015

66

8/55  

0.145455

9.6

32.4

4

2016

66

7/55  

0.127273

8.4

5

2017

66

6/55  

0.109091

7.2

6

2018

66

5/55  

0.090909

6

7

2019

66

4/55  

0.072727

4.8

8

2020

66

3/55  

0.054545

3.6

9

2021

66

2/55  

0.036364

2.4

10

2022

66

1/55  

0.018182

1.2

55

66

Straight line method

Figures in $

In millions

Year

Depreciation

Accumulated depreciation

(68-2)/10

1

2013

6.6

6.6

2

2014

6.6

13.2

3

2015

6.6

19.8

Year 2016

At the beginning of 2016, Irwin decided to change to the straight-line method.

1. Accumulated Depreciation A/c Dr. $ 12.6 million ($ 32.4 million - $ 19.8 million )

                               To Profit and loss A/c Cr. $ 12.6 million

2. Depreciation A/c Dr. $ 6.6 million

                       To Accumulated Depreciation A/c Cr. $ 6.6 million

Sum of years digit method

Figures in $

In millions

Year

Asset base

Depreciation rate

Depreciation

Accumulated Depreciation

A

B

(68-2)

A*B

1

2013

66

10/55

0.181818

12

12

2

2014

66

9/55  

0.163636

10.8

22.8

3

2015

66

8/55  

0.145455

9.6

32.4

4

2016

66

7/55  

0.127273

8.4

5

2017

66

6/55  

0.109091

7.2

6

2018

66

5/55  

0.090909

6

7

2019

66

4/55  

0.072727

4.8

8

2020

66

3/55  

0.054545

3.6

9

2021

66

2/55  

0.036364

2.4

10

2022

66

1/55  

0.018182

1.2

55

66

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