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Depreciation by three methods; partial years

Layton Company purchased tool sharpening equipment on October $1$ for $$108,000.$ The equipment was expected to have a useful life of $3$ years or $12,000$ operating hours, and a residual value of $$7,200.$ The equipment was used for $1,350$ hours during Year $1,4,200$ hours in Year $2,3,650$ hours in Year $3,$ and $2,800$ hours in Year $4.$

Required:

Determine the amount of depreciation expense for the years ended December $31,$ Year $1,$ Year $2,$ Year $3,$ and Year $4,$ by $($a$)$ the straight$-$line method, $($b$)$ the units$-$of$-$activity method, and $($c$)$ the double$-$declining$-$balance method.

Note: FOR DECLINING BALANCE ONLY, round the multiplier to five decimal places. Then, round the answer for each year to the nearest whole dollar.