On January $2,2021,$ Archer Company, a skateboard manufacturer, installed a computerized machine in its factory at a cost of $$172,000.$ The machine's useful life was estimated at four years or a total of $190,000$ units with a $$39,000$ trade$-$in value. Archer Company's year$-$end is December $31.$

Calculate depreciation for each year of the machine's estimated useful life under each of the following methods: $($Do not round intermediate calculations.$)$

a$.$ Straight$-$line

b$.$ Double$-$declining$-$balance

c$.$ Units$-$of$-$production, assuming actual units produced were:

$\backslash$table$[[$Year$,2021,2022,2023,2024],[$Units$,40,300,44,150,54,600,76,000]]$

$\backslash$table$[[$Year$,$Straight$-$Line,Double$-$Declining$-$Balance,Units$-$of$-$Production$],[2021,,,],[2022,,,],[2023,,,],[2024,,,],[$Total$,,,]]$