The machine's second year depreciation expense is $3,200.
Depreciation is a method that is used to expense the cost of an asset. The units-of-production depreciation method determines the depreciation expense based on the units of goods that the machine produces in a given year.
Unit of production depreciation expense = (unit of goods produced in year 2 / total units the machine can produce) x (cost of the asset - salvage value)
Total units the machine can produce = 1500 + 1250 + 1000 = 3750
(1000 / 3750) x ($15,000 - $3,000) = $3,200
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