A heavy construction firm has been awarded a contract to build a large concrete dam. It is expected that a total of $8$ years will be required to complete the work. The firm will buy $$600,000$ worth of special equipment for the job. During the preparation of the job cost estimate, the following utilization schedule was computed for the special equipment:

Year Utilization $($hr$/$yr$)$ Year Utilization $($hr$/$yr$)$

$160005800$

$240006800$

$3400072200$

$4160082200$

At the end of the job, it is estimated that the equipment can be sold at auction for $$60,000.$

$($a$)$Compute the straight$-$line depreciation schedule.

$($b$)$Compute the unit$-$of$-$production depreciation schedule.