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Worker Corporation allocates its single support department to its operating departments based on the single rate method using machine hours. The following information has been gathered for the assembly department, one of the two operating departments: Actual Budgeted Fixed costs $50,000 $47,960 Machine hours – Assembly 1,900 1,976 Variable costs – Assembly $121,000 $120,000 What is the cost-allocation rate for the assembly department using the single-rate method?

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jepessoa

Answer:

$85 per machine hour

Explanation:

                                                                Actual           Budgeted

Fixed costs                                           $50,000          $47,960

Machine hours – Assembly                   1,900               1,976

Variable costs – Assembly                 $121,000         $120,000

since the single rate method does not distinguish between fixed or variable costs, in order to determine the cost allocation rate we must add the fixed allocation rate and the variable allocation rate:

  • variable allocation rate = $120,000 / 1976 machine hours = $60.73
  • fixed allocation rate = $47,960 / 1976 = $24.27

total = $60.73 + $24.27 = $85 per machine hour

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