Problem $1$ Comparing three depreciation methods $$ Ch $9$

Snoopy Industries purchased packaging equipment on January $3$ for $$84,000.$ The equipment was expected to have a useful life of four years, or $25,000$ operating hours, and a residual value of $$5,500.$ The equipment was used for $6,200$ hours during Year $1,5,900$ hours during Year $2,7,400$ hours during Year $3,$ and $5,500$ hours during Year $4.$

$1.$ Determine the amount of depreciation expense for the four years ending December $31$ by $($a$)$ straight$-$line method, $($b$)$ the units$-$of$-$activity method, and $($c$)$ the double$-$declining$-$balance method. Also determine the total depreciation expense for the four years by each method.

$2.$ What method yields the highest depreciation for Year $1?$

$3.$ What method yields the most depreciation over the four$-$year life of the equipment?