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You brought your work home one evening, and your nephew spilled his chocolate milk shake on the variance report you were prep

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Standard Machine Hours per unit of Output 5 hours
Standard variable -overhead rate per machine hour $ 9.00
Actual variable - overhead rate per machine hour (Working note 1) $10
Actual machine hours per unit of output (Working note 3) 3.5hr/unit
Budgeted fixed overhead $31,625
Actual fixed overhead $41,425
Budgeted production in units 11,500
Actual production in units (Working note 2) 9,600 units
Variable-overhead spending Variance $34,000 Unfavorable
Variable-overhead efficiency Variance $126,000 Favorable
Fixed- overhead Budget Variance $9,500 Unfavorable
Fixed- overhead Volume Variance (Working note 6) $5225 Unfavorable
Total Actual Overhead $381,125
Total Budgeted overhead (flexible budget) (Working note 4) $463,625
Total Budgeted overhead (static budget) (Working note 5) $549,125
Total applied overhead $458,400
  1. Actual Overhead = Total actual overhead - Actual Fixed Overhead
    = $381,125 - $41,125 = $340,000
    Variable overhead spending variance = Actual Variable overhead - ( actual hours * standard rate)
    Actual hours = ($340,000 - $34,000 ) / 9 = $34,000 hours
    Actual variable Overhead rate = Actual Variable overhead / Actual Hours
    = $340,000 / 34,000 = $10/hour
  2. Fixed Overhead rate = Budgeted fixed overhead / Budgeted machine hours
    = $31,625 / (11,500 * 5 hr/unit) = $0.55/hour
    Total Standard overhead rate = Standard variable overhead rate + Fixed overhead rate
    = 9 + 0.55 = $9.55
    Total applied Overhead = Total standard hours * Total standard overhead rate
    Total standard hours = $458,400 / 9.55 = 48,000 hours
    Actual Production in Units = Total Standard hours / Standard hours/unit
    = 48,000 / 5 = 9,600 units
  3. Actual machine hours per unit of output = Total actual machine hours / Actual Production
    = 34,000 hours / 9,600 = 3.5hr/unit
  4. Total budgeted overhead (flexible budget) = Budgeted fixed overhead + (standard variable rate * standard hours)
      = $31,625 + (9 * 48,000) = $31,625 + $432,000) = $463,625
    Standard Hours = 5 * 9,600 = 48,0000 hours
  5. Total budgeted overhead (static budget) = Total standard overhead rate * budgeted production * standard hour/unit
    = $9.55 * 11,500 * 5 = $549,125
  6. Applied fixed overhead = fixed overhead rate * actual production *  standard hour/unit
    = 0.55 * ( 9,600 * 5) = $26,400
    Fixed overhead volume variance = Budgeted fixed overhead - applied fixed overhead
    = $31,625 - $26,400 = $5225 unfavorable
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