Exercise $9\mathrm{.}13($Algo$)$ Units$-$of$-$Output Method $($LO$9-4)$

During the current year, Central Auto Rentals purchased $60$ new automobiles at a cost of $$20,400$ per car. The cars will be sold to a

wholesaler at an estimated $$6,000$ each as soon as they have been driven $45,000$ miles. Central Auto Rentals computes depreciation

expense on its automobiles by the units$-$of$-$output method, based on mileage.

Required:

a$.$ Compute the amount of depreciation to be recognized for each mile that a rental automobile is driven.

b$.$ Assuming that the $60$ rental cars are driven a total of $1,690,000$ miles during the current year, compute the total amount of

depreciation expense that Central Auto Rentals will recognize on this fleet of cars for the year.