Exercise $7-33($Algo$)$ Prorate Under$-$ or Overapplied Overhead $($LO $7-3)$

Antoine Machining estimated its manufacturing overhead to be $$285,200$ and its direct materials costs to be $$460,000$ in Year $1.$ Three of the jobs that Antoine Machining worked on in Year $1$ had actual direct materials costs of $$16,500$ for Job AM$002,$ $$60,500$ for Job AM$005,$ and $$77,000$ for Job AM$008.$ For Year $1,$ actual manufacturing overhead was $$314,000$ and total direct materials cost was $$590,000.$ Manufacturing overhead is applied to jobs on the basis of direct materials costs using predetermined rates.

Overhead applied in each of the inventory accounts is as follows:

$\backslash$table$[[$Work$-$in$-$process inventory,$$21,948$