Compatibility Services acquired an $80,000 machine on January 1, 20X3. The machine is estimated to have a useful life of 8 years, and a residual value of $4,000. For units-of-production depreciation purposes, the machine is expected to produce 400,000 units. If Compatibility Services uses double-declining-balance depreciation, what is the depreciation expense in 20X4?
A) $ 19,000
B) $ 10,000
C) $15,000
D) $9,500
E) $16,000
Note: Please show math for answer.
Correct answer--------(C) $15,000
Working
Double declining Method | ||
A | Cost | $ 80,000 |
B | Residual Value | $ 4,000 |
C=A - B | Depreciable base | $ 76,000 |
D | Life [in years] | 8 |
E=C/D | Annual SLM depreciation | $ 9,500 |
F=E/C | SLM Rate | 12.50% |
G=F x 2 | DDB Rate | 25.00% |
.
Depreciation schedule-Double declining | |||||
Year | Beginning Book Value | Depreciation rate | Depreciation expense | Accumulated Depreciation | Ending Book Value |
2003 | $ 80,000 | 25.00% | $ 20,000 | $ 20,000 | $ 60,000 |
2004 | $ 60,000 | 25.00% | $ 15,000 | $ 35,000 | $ 45,000 |
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