In a standard costing system using machine-hours (MHs), given denominator activity 6,300 MHs and budgeted fixed manufacturing overhead P120,960, with standard hours allowed for actual output of 6,384 MHs, what is the fixed overhead volume variance for the period (nearest peso)? A. P9,600 F B. P7,987 U C. P1,613 F D. P1,615 U
A manufacturing company has a standard costing system based on standard machine-hours (MHs) as the measure of activity. Data from the company's flexible budget for manufacturing overhead are given below:
Denominator level of activity - 6,300 MHs
Overhead costs at the denominator activity level:
Variable overhead cost - P34,020
Fixed overhead cost - P120,960
The following data pertain to operations for the most recent period:
Actual hours - 6,800 MHs
Standard hours allowed for the actual output - 6,384 MHs
Actual total variable overhead cost - P38,080
Actual total fixed overhead cost - P122,710
The fixed overhead volume variance is P1,613 favorable (Choice C). The fixed overhead rate is P120,960 ÷ 6,300 = P19.20 per MH, so fixed overhead applied is 6,384 × P19.20 = P122,573 (rounded). Volume variance = Budgeted fixed OH − Applied fixed OH = P120,960 − P122,573 = −P1,613, which is favorable.
What the question is asking
Fixed overhead volume variance measures whether you produced (or operated) at a higher or lower activity level than the denominator level used to set the fixed overhead rate. It compares budgeted fixed overhead to the fixed overhead applied to output.
Compute the standard fixed overhead rate
Budgeted fixed manufacturing overhead at denominator activity:
- Fixed OH budget = P120,960
- Denominator activity = 6,300 MHs
So the standard fixed OH rate is: $$\text{Fixed OH rate} = \frac{P120{,}960}{6{,}300\text{ MH}} = P19.20\text{ per MH}$$
Apply fixed overhead to actual output (use standard hours allowed)
Use standard hours allowed for the actual output, not actual hours:
- Standard hours allowed (SH) = 6,384 MHs
Applied fixed OH: $$\text{Applied fixed OH} = 6{,}384 \times P19.20 = P122{,}572.8 \approx P122{,}573$$
Calculate the fixed overhead volume variance and label F/U
Using the common definition: $$\text{FOH volume variance} = \text{Budgeted fixed OH} - \text{Applied fixed OH}$$
$$= P120{,}960 - P122{,}573 = -P1{,}613$$
A negative result means applied exceeds budgeted, which is favorable (more volume than planned), so:
- Fixed overhead volume variance = P1,613 F
Correct choice: C.
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