Answer
Book value of the machine = initial investment - accumulated depreciation
Depreciation in year 1 = $23,150
Depreciation in year 2 = $39,674
Depreciation in year 3 = $28,334
Depreciation in year 4 = $14,467
Depreciation in year 5 = $7,233
Accumulated depreciation
= 23,150 + 39,674 + 28,334 + 14,467 + 7,233 = $112,857
Initial investment = $162,000
Book value of the machine
= 162,000 - 112,858 = $49,143
Book value of the machine in year 5 is $49,143.
Option $49,143 is correct.
The above calculations clearly show that other options are incorrect.
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