$1.(8$ points$)$ Robert Parish Corporation purchased a new machine for its assembly process on January $1,2014.$ The cost of this machine was $\backslash (\backslash$$ $615,000\backslash ).$ The company estimated that the machine would have a salvage value of $\backslash (\backslash$$ $15,000\backslash )$ at the end of its service life. Its life is estimated at $5$ years, and its working hours are estimated at $100,000$ hours. Year$-$end is December $31.$

Compute the depreciation expense under the following methods and complete the depreciation schedules below.

$($a$)$ Straight$-$line depreciation.

$($b$)$ Activity method, assuming that machine usage was $28,000$ hours for $2014$; $29,000$ hours for $2015$; $18,000$ hours for $2016$; $12,000$ hours for $2017$; and $13,000$ hours for $2018.$

$($c$)$ Sum$-$of$-$the$-$years'$-$digits.

$($d$)$ Double$-$declining$-$balance.

Straight$-$line

Units$-$of$-$Production $($Activity$)$ Sum$-$of$-$the$-$Years' Digits

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Year & Cost & $\backslash$begin$\{$tabular$\}\{$c$\}$

Book Value, $\backslash \backslash$

Beginning

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Depreciation $\backslash \backslash$

Expense

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Accumulated $\backslash \backslash$

Depreciation

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Book Value, $\backslash \backslash$

Ending

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline & & & & $\backslash (=\backslash$Sigma $\backslash )$ depr exp. & $\backslash (=\backslash )$ Cost $-$ A$/$D $\backslash \backslash$

$\backslash$hline $1$ & & & & & $\backslash \backslash$

$\backslash$hline $2$ & & & & & $\backslash \backslash$

$\backslash$hline $3$ & & & & & $\backslash \backslash$

$\backslash$hline $4$ & & & & & $\backslash \backslash$

$\backslash$hline $5$ & & & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Double Declining Balance

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Year & Cost & $\backslash$begin$\{$tabular$\}\{$c$\}$

Book Value, $\backslash \backslash$

Beginning

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Depreciation $\backslash \backslash$

Expense

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Accumulated $\backslash \backslash$

Depreciation

$\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$

Book Value, $\backslash \backslash$

Ending

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline $1$ & & & & $=$ depr exp. & $\backslash (=\backslash )$ Cost $-$ A$/$D $\backslash \backslash$

$\backslash$hline $2$ & & & & & $\backslash \backslash$

$\backslash$hline $3$ & & & & & $\backslash \backslash$

$\backslash$hline $4$ & & & & & $\backslash \backslash$

$\backslash$hline $5$ & & & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$