On November $1,2020,$ Mountain Ski Corporation purchased a used snow grooming machine for $$104,000.$ Management estimated the machine$$s useful life at three years or $3,000$ hours and an $$8,000$ residual value. The company used the machine for $500$ hours in the year ended December $31,2020,1,000$ hours in the year ended December $31,2021,1,200$ hours in the year ended December $31,2022,$ and $300$ hours in the year ended December $31,2023.$ How much depreciation expense should Mountain Ski record in each of $2020,2021,2022,$ and $2023$ under each depreciation method: $($a$)$ straight$-$line, $($b$)$ diminishing$-$balance using twice the straight$-$line rate, and $($c$)$ units$-$of$-$production? What is the total amount of depreciation recorded under each of these methods over this four$-$year period? Note: Partial$-$year depreciation is required Hours per Year Cost $$104,000\mathrm{.}002020500$ Estimated residual value $$8,000\mathrm{.}0020211000$ Estimated useful life $($in years$)320221200$ Estimated useful life $($in hours$)3,00020233003000$