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00Question:Mason Fender is a competitor of Matthews Fender from Exercise E23­19. Mason Fender also uses a standard cost system and provides the following information:

Static budget variable overhead \( 2,300

Static budget fixed overhead \) 23,000

Static budget direct labor hours 575 hours

Static budget number of units 23,000 units

Standard direct labor hours 0.025 hours per fender

Mason Fender allocates manufacturing overhead to production based on standard direct labor hours. Mason Fender reported the following actual results for 2018: actual number of fenders produced, 20,000; actual variable overhead, \(5,350; actual fixed overhead, \)26,000; actual direct labor hours, 460.

Requirements

1. Compute the overhead variances for the year: variable overhead cost variance, variable overhead efficiency variance, fixed overhead cost variance, and fixed overhead volume variance.

2. Explain why the variances are favorable or unfavorable.

Step by step solution

01

Computation of the allocation rate

$$\begin{gathered} \mathbf{StandardVOHallocationrate}\mathbf{=}\frac{\mathbf{BudgetedVOH}}{\mathbf{Budgetedallocationbase}} \\ \mathbf{=}\frac{\mathbf{2}\mathbf{,}\mathbf{300}}{\mathbf{575}} \\ \mathbf{=}\mathbf{\$}\mathbf{4} \\ \mathbf{StandardFOHallocationrate}\mathbf{=}\frac{\mathbf{BudgetedFOH}}{\mathbf{Budgetedallocationbase}} \\ \mathbf{=}\frac{\mathbf{23}\mathbf{,}\mathbf{000}}{\mathbf{575}} \\ \mathbf{=}\mathbf{\$}\mathbf{40} \end{gathered}$$

02

Computation of the Variable Overhead Variance

$$\begin{gathered} \mathbf{VOHcostvariance}\mathbf{=}\mathbf{ActualVOH}\mathbf{-}\left(\mathbf{SC}\mathbf{-}\mathbf{AQ}\right) \\ \mathbf{=}\mathbf{5}\mathbf{,}\mathbf{350}\mathbf{-}\left(\mathbf{4}\mathbf{×}\mathbf{460}\right) \\ \mathbf{=}\mathbf{\$}\mathbf{3}\mathbf{,}\mathbf{510}\mathbf{U} \\ \mathbf{VOHefficiencyvariance}\mathbf{=}\left(\mathrm{AQ}-\mathrm{SQ}\right)\mathbf{×}\mathbf{SC} \\ \mathbf{=}\left(460-500\right)\mathbf{×}\mathbf{4} \\ \mathbf{=}\mathbf{\$}\mathbf{160}\mathbf{F} \end{gathered}$$

03

Computation of the Fixed overhead Variance

$$\begin{gathered} \mathbf{FixedCostVariance}\mathbf{=}\mathbf{ActualFOH}\mathbf{-}\mathbf{BudgetedFOH} \\ \mathbf{=}\mathbf{26}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{23}\mathbf{,}\mathbf{000} \\ \mathbf{=}\mathbf{\$}\mathbf{3}\mathbf{,}\mathbf{000}\mathbf{U} \\ \mathbf{FOHvolumeVariance}\mathbf{=}\mathbf{BudgetedFOH}\mathbf{-}\mathbf{AllocatedFOH} \\ \mathbf{=}\mathbf{23}\mathbf{,}\mathbf{000}\mathbf{-}\mathbf{20}\mathbf{,}\mathbf{000} \\ \mathbf{=}\mathbf{\$}\mathbf{3}\mathbf{,}\mathbf{000} \end{gathered}$$

04

Explanation of favorable or unfavorable variances

The unfavorable variable overhead cost variance indicates that the actual variable overhead cost per direct labor was not kept within the cost standards.

The favorable overhead efficiency variance shows that the actual usage of direct labor hours was kept within the standard.

The variance of fixed overhead costs was unfavorable because the actual total cost was not kept within the budget.

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