Antoine Machining estimated its manufacturing overhead to be $$286,440$ and its direct materials costs to be $$462,000$ in Year $1.$ Three of the jobs that Antoine Machining worked on in Year $1$ had actual direct materials costs of $$27,000$ for Job AM$002,$ $$67,000$ for Job AM$005,$ and $$82,000$ for Job AM$008.$ For Year $1,$ actual manufacturing overhead was $$319,000$ and total direct materials cost was $$552,000.$ Manufacturing overhead is applied to jobs on the basis of direct materials costs using predetermined rates.

Required:

a$.$ How much overhead was assigned to each of the three jobs, AMO$02,$ AMO$05,$ and AMO$08?$

b$.$ What was the over$-$ or underapplied manufacturing overhead for Year $1?$

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How much overhead was assigned to each of the three jobs, AM$002,$ AM$005,$ and AM$008?$

$\backslash$table$[[$Job AM$002],[$Job AM$005],[$Job AM$008]]$