Equipment purchased at the beginning of the fiscal year for $150,000 is expected to have a useful life of 5 years, or 15,000 operating hours, and a residual value of $30,000. Compute the depreciation for the first and second years of use by each of the following methods: (a) straight-line (b) units-of-production (2,500 hours first year; 3,250 hours second year) (c) declining-balance at twice the straight-line rate

(a). Depreciation for 1st year= $24,000

Depreciation for 2nd year= $24,000

(b). 1st Year Depreciation = $20,000

for 2nd year depreciation = $26,000

(c) 1st year Depreciation= $60,000

2nd year Depreciation = $36,000

Explanation:

a).

Annual Depreciation of Equipment = (Cost of Equipment - Residual Value) ÷ Useful Life of Equipment

= ($150,000 - $30,000) ÷ 5

= $24,000

Rate of Straight Line Depreciation = Annual Depreciation of Equipment ÷ (Cost of Equipment - Residual Value) × 100

= 24,000 ÷ ( $150,000 - 30,000) × 100

= $24,000 ÷ $120,000 × 100 = 20%

Depreciation for 1st year= $24,000

Depreciation for 2nd year= $24,000

b). Unit Of Production For 1st Year Depreciation= (Cost Of Equipment -Residual Value) × Annual Production Units ÷ Total Operating Hours

= ($150,000 - $30,000) × 2,500 ÷ 15,000 = $20,000

Unit of Production for 2nd year depreciation = ( $150,000 - $30,000) × 32,50 ÷ 15,000

= $26,000

c). Declining Balance Depreciation Rate = Straight Line Depreciation Rate × 2

= 20% × 2 = 40%   (Because Declining Balance at Twice the Straight Line Rate)

1st year Depreciation= $150,000 × 40÷100 = $60,000

2nd year Depreciation = ($150,000 - $60,000) × 40÷100 =$36,000

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