Comparing three depreciation methodsDexter Industries purchased packaging equipment on January $8$ for $$81,900.$ The equipment was expected to have a useful life of $3$ years, or $20,000$ operating hours, and a residual value of $$4,500.$ The equipment was used for $7,600$ hours during Year $1,6,000$ hours in Year $2,$ and $6,400$ hours in Year $3.$Required:$1.$ Determine the amount of depreciation expense for the $3$ years ending December $31,$ by $($a$)$ the straight$-$line method, $($b$)$ the units$-$of$-$activity method, and $($c$)$ the double$-$declining$-$balance method. Also determine the total depreciation expense for the $3$ years by each method. Do not round intermediate calculations when determining the depreciation rate. Round the final answers for each year to the nearest whole dollar. Asset cost minus residual value equals depreciable cost. Sum the yearly depreciation to determine total depreciation.Annual units$-$of$-$activity depreciation allocates the cost of the asset equally over the units produced $($hours$).$The double$-$declining$-$balance rate is two times the straight$-$line rate. Book value is the asset cost minus accumulated depreciation. In the first year, the balance in the accumulated depreciation account is zero.Compare the total depreciation for all methods over the time period. Recall that straight$-$line method allocates the depreciable cost of the asset equally over the period of use, while double$-$declining$-$balance method is an accelerated method.