Please refer to the following assumptions and provide your answers to the questions.

Assumptions:

Your team plans to purchase a machine for stadium security.

The price per unit is $$9,000.$

The intended useful life of each machine is two $(2)$ years.

The machine will be used for $1,000$ hours in the first year and $2,000$ hours in the subsequent second year.

The estimated salvage value after $2$ years of use is $0\%$ of the initial cost.

$($a$)$ What is the annual depreciation amount using the straight$-$line method? $(4$ pts$)$

$($b$)$ What is the depreciated amount for the $2$nd year using the sum$-$of$-$years digits method? $(4$ pts$)$

$($c$)$ What is the remaining value after deducting the $2$ nd$-$year depreciation using the double$-$declining balance method? $(4$ pts$)$

$($d$)$ What is the depreciated amount for the $2$nd year using the units of production method? $(4$ pts$)$