Asked by Hilary Sahagun on Jul 29, 2024

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The following standards for variable manufacturing overhead have been established for a company that makes only one product:  Standard hours per unit of output 7.8 hours  Standard variable overbead rate $12.55 per hour  The following data pertain to operations for the last month:  Actual hours 2,900 hours  Actual total variable overhead cost $31,330 Actual output 200 units \begin{array}{l}\begin{array} { | l | l | } \hline \text { Standard hours per unit of output } & 7.8 \text { hours } \\\hline \text { Standard variable overbead rate } & \$ 12.55 \text { per hour } \\\hline\end{array}\\\text { The following data pertain to operations for the last month: }\\\begin{array} { | l | l | } \hline \text { Actual hours } & 2,900 \text { hours } \\\hline \text { Actual total variable overhead cost } & \$ 31,330 \\\hline \text { Actual output } & 200 \text { units } \\\hline\end{array}\end{array} Standard hours per unit of output  Standard variable overbead rate 7.8 hours $12.55 per hour  The following data pertain to operations for the last month:  Actual hours  Actual total variable overhead cost  Actual output 2,900 hours $31,330200 units  What is the variable overhead efficiency variance for the month?

A) $130 F.
B) $4,320 U.
C) $130 U.
D) $4,320 F.

Variable Overhead Efficiency Variance

The difference between the actual variable overhead incurred and the standard variable overhead for the actual production level, reflecting efficiency in controlling variable overhead costs.

Standard Hours Per Unit

The amount of direct labor time that should be required to complete a single unit of product, including allowances for breaks, machine downtime, cleanup, rejects, and other normal inefficiencies.

Actual Total Variable Overhead Cost

The amount incurred in variable overhead expenses for actual production activities.

  • Comprehend and implement analysis of variable and fixed overhead variances.
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ZK
Zybrea KnightAug 03, 2024
Final Answer :
B
Explanation :
The variable overhead efficiency variance is calculated as follows: Standard hours allowed for actual production−Actual hours×Standard variable overhead rate \text{Standard hours allowed for actual production} - \text{Actual hours} \times \text{Standard variable overhead rate} Standard hours allowed for actual productionActual hours×Standard variable overhead rate Given that the standard hours per unit of output are 7.8 hours and the actual output is 200 units, the standard hours allowed for actual production would be: 7.8×200=1,560 hours 7.8 \times 200 = 1,560 \text{ hours} 7.8×200=1,560 hours The actual hours worked were 2,900 hours, and the standard variable overhead rate is $12.55 per hour. Therefore, the variable overhead efficiency variance is: (1,560−2,900)×12.55=−1,340×12.55=−16,817 (1,560 - 2,900) \times 12.55 = -1,340 \times 12.55 = -16,817 (1,5602,900)×12.55=1,340×12.55=16,817 Since the actual hours are greater than the standard hours allowed, this results in an unfavorable variance. However, there seems to be a discrepancy in the provided data and calculations. Based on the standard approach to calculating the variable overhead efficiency variance, the correct calculation should focus on the difference between the standard hours allowed for the actual production and the actual hours worked, multiplied by the standard variable overhead rate. Given the discrepancy, let's correct the approach: Efficiency Variance=(Standard Hours for Actual Output−Actual Hours)×Standard Rate \text{Efficiency Variance} = (\text{Standard Hours for Actual Output} - \text{Actual Hours}) \times \text{Standard Rate} Efficiency Variance=(Standard Hours for Actual OutputActual Hours)×Standard Rate For the actual output of 200 units, the standard hours should be: 200×7.8=1,560 hours 200 \times 7.8 = 1,560 \text{ hours} 200×7.8=1,560 hours The variance is then: (1,560−2,900)×12.55=(−1,340)×12.55=−16,817 (1,560 - 2,900) \times 12.55 = (-1,340) \times 12.55 = -16,817 (1,5602,900)×12.55=(1,340)×12.55=16,817 This calculation indicates a significant unfavorable variance, but it does not match the provided options, suggesting a need to reevaluate the initial calculation or the interpretation of the options. Given the options and the standard formula for calculating efficiency variance, there seems to be a misunderstanding in the calculation presented. The correct approach to find the variance based on the options would involve correctly applying the formula and matching it to the closest provided option, which requires accurate data and calculations. Without the exact match in the provided options, the explanation aimed to demonstrate the standard method for calculating the variable overhead efficiency variance, highlighting a need for clarity in the initial problem setup or a reevaluation of the provided data and options.