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Problem 11-11 On January 1, 201 s, a m ochne was purchased for S99 000. The mach

ID: 2510497 • Letter: P

Question

Problem 11-11 On January 1, 201 s, a m ochne was purchased for S99 000. The machine has an estimated sal age vak" of SS 600 and m-'mated osel. Me 015 yea. The machine can opere fe·110,000 hours before it reed' to be replaced. The company dosed its tooks on December 33 and operates the machine as follows: 2015, 22,000 hrs 2016, 27,500 hrs; 2017, 16,500 hrs; 2018, 33,000 hrs; and 2019, 11,000 hrs Compute the anrual deprecistion charges over the machine's Iife assuming a December 31 year end for each of the following deprecistion methods (Phoand answers to 0 decimal places, e.g..45,892) (1) Straight Ine Method () Activity Methed 015 2016 2017 2018 019 (3) Sum-of-the-Years-Digits Method 2016 2017 2018 (4) Double Decleing- fialance Method

Explanation / Answer

1. Depreciation Using Straight Line Method

Annual Depreciation = ( Cost of the asset – Salvage Value ) / Usefull Life

                                    = ( $99000 - $6600 ) / 5 Years

                                    = $18,480/ Year

Depreciation Year 2015 = $18,480

Depreciation Year 2016 = $18,480

Depreciation Year 2017 = $18,480

Depreciation Year 2018 = $18,480

Depreciation Year 2019 = $18,480

2. 2. Depreciation Under Units Of Production Method

Depreciation = [(Cost of Asset - Residual Value) / Estimated Total Production] x Actual Production

Depreciation Year 2015 = $99000 x (22000 Units / 110000 Units)

                             = $19,800

Depreciation Year 2016 = $99000 x (27500 Units / 110000 Units)

                             = $24,750

Depreciation Year 2017 = $99000 x (16500 Units / 110000 Units)

                             = $14,850

Depreciation Year 2018 = $99000 x (33000 Units / 110000 Units)

                             = $29,700

Depreciation Year 2019 = $99000 x (11000 Units / 110000 Units)

                             = $9,900

Depreciation Year 2015 = $19800

Depreciation Year 2016 = $24750

Depreciation Year 2017 = $14850

Depreciation Year 2018 = $29700

Depreciation Year 2019 = $9900

3. 2.Depreciation Under Sum of years digit method

Depreciation Year 2015= $ 92400 x 5/15 = $30800

Depreciation Year 2016= $ 92400 x 4/15 = $24640

Depreciation Year 2017= $ 92400 x 3/15 = $18480

Depreciation Year 2018= $ 92400 x 2/15 = $12320

Depreciation Year 2019= $ 92400 x 1/15 = $6160

4.Depreciation Under Double Declining Balance Method

Year

Book Value Begining

Depreciation = 2 x SL Depreciation Rate x Book Value Begining

Book Value

2015

99000

39600

59400

2016

59400

23760

35640

2017

35640

14256

21384

2018

21384

8554

12830

2019

12830

6230(B/f)

6600

***Stright Line Depreciation Rate = 1/5 = 20%

Year

Book Value Begining

Depreciation = 2 x SL Depreciation Rate x Book Value Begining

Book Value

2015

99000

39600

59400

2016

59400

23760

35640

2017

35640

14256

21384

2018

21384

8554

12830

2019

12830

6230(B/f)

6600