$In2020,$ Aimco bought a used private jet for $$12,000,000.At$ the beginning $of2023$ the Class $9$ pool had a UCC $of$ $$9,000,000$ and this asset was the only remaining property $in$ the pool. Given the lack $of$ inventory $in$ the market, Aimco can sell the jet for $$13,500,000$ this year.

$a.$ Determine $if$ Aimco has any Capital gains $on$ the sale and the balance $in$ the pool after they sell the asset $at$ the indicated selling price.

$b.$ Indicate $if$ they will have a Recapture $or$ Terminal Loss.

$c.If$ Aimco's tax rate $is18\%,$ what $is$ the tax Savings $or$ amount due $as$ a result $of$ the sale.