The volume variance can also be computed by multiplying the fixed portion of the predetermined overhead rate times the difference between denominator hours and standard hours. The equation on the prior slide and this equation result in identical answers. Both variance computations will be demonstrated in the forthcoming example.
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Predetermined Overhead Rates and Overhead Analysis in a Standard Costing System Appendix 11ALearning Objective 11-4Compute and interpret the fixed overhead volume and budget variances.VolumevarianceFixed Overhead Volume VarianceFixedOverheadAppliedActualFixedOverheadBudgetedFixedOverheadVolumevarianceFixedoverheadapplied towork in processBudgetedfixedoverhead=–FPOHR = Fixed portion of the predetermined overhead rate DH = Denominator hours SH = Standard hours allowed for actual output SH × FRDH × FRFixed Overhead Volume VarianceVolume varianceFPOHR × (DH – SH)=FixedOverheadAppliedActualFixedOverheadBudgetedFixedOverheadVolumevarianceBudget varianceFixed Overhead Budget VarianceBudgetvarianceBudgetedfixedoverheadActualfixedoverhead=–FixedOverheadAppliedActualFixedOverheadBudgetedFixedOverheadPredetermined Overhead RatesPredetermined overhead rateEstimated total manufacturing overhead costEstimated total amount of the allocation base=Predetermined overhead rate$360,00090,000 Machine-hours=Predetermined overhead rate= $4.00 per machine-hourPredetermined Overhead RatesVariable component of thepredetermined overhead rate$90,00090,000 Machine-hours=Variable component of thepredetermined overhead rate= $1.00 per machine-hourFixed component of thepredetermined overhead rate$270,00090,000 Machine-hours=Fixed component of thepredetermined overhead rate= $3.00 per machine-hourApplying Manufacturing OverheadOverheadappliedPredetermined overhead rateStandard hours allowedfor the actual output=×Overheadapplied$4.00 permachine-hour84,000 machine-hours=×Overheadapplied$336,000=Computing the Volume VarianceVolumevarianceFixed overheadapplied towork in processBudgetedfixedoverhead=–Volumevariance= $18,000 UnfavorableVolumevariance= $270,000 –$3.00 permachine-hour(×$84,000machine-hours)Computing the Volume VarianceFPOHR = Fixed portion of the predetermined overhead rate DH = Denominator hours SH = Standard hours allowed for actual outputVolume varianceFPOHR × (DH – SH)=Volumevariance=$3.00 permachine-hour(×90,000mach-hours–84,000mach-hours)Volumevariance= 18,000 UnfavorableComputing the Budget VarianceBudgetvarianceBudgetedfixedoverheadActualfixedoverhead=–Budgetvariance= $280,000 – $270,000Budgetvariance= $10,000 UnfavorableA Pictorial View of the VariancesFixed OverheadApplied toWork in ProcessActualFixedOverheadBudgetedFixedOverhead 280,000270,000252,000Total variance, $28,000 unfavorableBudget variance,$10,000 unfavorableVolume variance,$18,000 unfavorableEnd of Appendix 11A