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Nash Company purchased equipment for $$199,200$ on October $1,2025.$ It is estimated that the equipment will have a useful life of $8$ years and a salvage value of $$12,000.$ Estimated production is $36,000$ units and estimated working hours are $20,000.$ During $2025,$ Nash uses the equipment for $500$ hours and the equipment produces $1,100$ units.

Compute depreciation expense under each of the following methods. Nash is on $$alendar$-$year basis ending December $31.($Round rate per hour and rate per unit to $2$ decinal pilaces, ez $5\mathrm{.}35$ and final answers to $0$ decimal pilaces, e$,45,892.)$

$($a$)$ Straight$-$line method for $2025$

$($b$)$ Activity method $($units of output$)$ for $2025$

$($c$)$ Activity method $($working hours$)$ for $2025$

$($d$)$ Sum$-$of$-$the$-$years'$-$digits method for $2027$

$($e$)$ Double$-$declining$-$balance method for $2026$