PR 10-2A Compare three depreciation methods

Breyer Company purchased packaging equipment on January 3, 2010, for $101,250. The equipment was expected to have a useful life of three years, or 25,000 operating hours, and a residual value of $7,500. The equipment was used for 9,500 hours during 2010, 8,400 hours in 2011, and 7,100 hours in 2012. Instructions
1. Determine the amount of depreciation expense for the years ended December 31, 2010, 2011, and 2012, by (a) the straight-line method, (b) the units-of-production method, and (c) the double-declining-balance method. Also determine the total depreciation expense for the three years by each method. The following columnar headings are suggested for recording the depreciation expense amounts:

Depreciation Expense
Year
StraightLine Method
Units-of- Production Method
Double-DecliningBalance Method

2. What method yields the highest depreciation expense for 2010? 3. What method yields the most depreciation over the three–year life of the equipment?

Answer:


1.  
Depreciation Expense   a. Straight- b. Units-of- c. Double-   Line Production Declining-Balance  Year Method Method Method   2010 $31,250 $35,625 $67,500  2011 31,250 31,500 22,500  2012  31,250  26,625  3,750  Total $93,750 $93,750 $93,750 

Calculations:  
Straight-line method:  
($101,250 – $7,500)/3 = $31,250 each year  

Units-of-production method:  
($101,250 – $7,500)/25,000 hours = $3.75 per hour  
2010: 9,500 hours @ $3.75 = $35,625  
2011: 8,400 hours @ $3.75 = $31,500  
2012: 7,100 hours @ $3.75 = $26,625  

Double-declining-balance method:  
2010: $101,250 × 2/3 = $67,500  
2011: ($101,250 – $67,500) × 2/3 = $22,500  
2012: ($101,250 – $67,500 – $22,500 – $7,500*) = $3,750

*Book value should not be reduced below the residual value of $7,500.  
2.  The double-declining-balance method yields the most depreciation expense in 2010 of $67,500.
3.  All three depreciation methods yield the same total depreciation over the three-year life of the equipment of $93,750, which is the cost of the equipment of $101,250 less the residual value of $7,500.

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