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9 April, 15:44

g At the beginning of the year, manufacturing overhead for the year was estimated to be $1,033,125. At the end of the year, actual direct labor-hours for the year were 36,390 hours, the actual manufacturing overhead for the year was $972,000, and manufacturing overhead for the year was overapplied by $65,115. If the predetermined overhead rate is based on direct labor-hours, then the estimated direct labor-hours at the beginning of the year used in the predetermined overhead rate must have been:

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  1. 9 April, 15:46
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    36,250 direct labor-hours

    Explanation:

    a. Underapplied (overapplied) manufacturing overhead = Actual manufacturing overhead - Manufacturing overhead applied

    - $65,115 = $972,000 - Manufacturing overhead applied

    Manufacturing overhead applied = $972,000 + $65,115 = $1,037,115

    b. Manufacturing overhead applied = Predetermined overhead rate * Actual direct labor-hours

    Therefore, we have:

    Predetermined overhead rate = Manufacturing overhead applied : Actual direct labor-hours = $1,037,115 : 36,390 = $28.50 per direct labor-hour

    c. Estimated direct labor-hours = Estimated total manufacturing overhead : Predetermined overhead rate = $1,033,125 : $28.50 = 36,250 direct labor-hours

    Therefore, the estimated direct labor-hours at the beginning of the year used in the predetermined overhead rate must have been 36,250 direct labor-hours.
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