About the Standard Cost Variance Calculator
This standard cost variance calculator breaks the gap between actual production cost and standard cost into the eight classic variances: material price and quantity, labor rate and efficiency, variable overhead spending and efficiency, and fixed overhead budget (spending) and volume. Enter the units you actually produced, your standards per unit and what you actually paid and used, and it shows each variance in dollars, labelled favorable (F) or unfavorable (U).
It is built for cost accountants, plant controllers, operations managers and accounting students working through standard costing problems. Because the variances add up exactly to the difference between total actual cost and total standard cost for the output achieved, you can see at a glance whether an overrun came from paying more for inputs, using more of them, or spreading fixed overhead over fewer units than planned.
The calculator assumes the quantity of material purchased equals the quantity used (so the price variance is measured on quantity used), and that variable and fixed overhead are both applied on direct labor hours. A positive variance means actual cost was higher than standard (unfavorable); a negative variance is favorable.
With the default inputs, the total cost variance is $2,500.00. Change any value above to recalculate instantly.
How to use the standard cost variance calculator
- 1Enter the number of units actually produced in the period.
- 2Enter the material standard (quantity per unit and price) and the actual quantity used and price paid.
- 3Enter the labor standard (hours per unit and rate) and the actual hours and rate.
- 4Add the variable overhead rate and actual variable overhead.
- 5Enter budgeted fixed overhead, the denominator hours and actual fixed overhead.
- 6Review each variance and the F/U labels to see what drove the total.
Formula and method
Standard quantities and hours are the amounts allowed for the output actually achieved: SQ = standard material per unit × actual units, and SH = standard hours per unit × actual units. Price and rate variances isolate the effect of paying a different price per unit of input, measured on the actual quantity; quantity and efficiency variances isolate the effect of using a different amount of input, priced at standard.
Variable overhead is applied on direct labor hours, so its efficiency variance moves with labor efficiency. Fixed overhead is applied at a predetermined rate (budget ÷ denominator hours); the volume variance arises when standard hours for actual output differ from the denominator hours, so fixed costs are over- or under-absorbed. Positive values are unfavorable (actual cost above standard); the eight variances sum to total actual cost minus total standard cost.
- AP, SP
- Actual and standard price per unit of material
- AQ, SQ
- Actual material used and standard quantity allowed for actual output
- AR, SR
- Actual and standard labor rate per hour
- AH, SH
- Actual labor hours and standard hours allowed for actual output
- VR
- Standard variable overhead rate per labor hour
Worked examples
1,000 units with cheaper material but more labor hours
Standard quantity allowed is 2 × 1,000 = 2,000 lb and standard hours are 0.5 × 1,000 = 500. Buying at $4.80 instead of $5 saves $420 (F), but using 100 extra pounds costs $500 (U). Labor cost $520 more from the higher rate and $400 more from 20 extra hours. The fixed rate is $6,000 ÷ 600 = $10 per hour, so only $5,000 was absorbed, a $1,000 unfavorable volume variance. In total, actual cost of $31,500 is $2,500 above the $29,000 standard.
Efficient month at higher output
With 1,200 units, standard material is 2,400 lb and standard hours are 600. Paying $5.10 adds $235 (U), but using 50 lb less saves $250 (F). Twenty fewer hours save $400 of labor and $160 of variable overhead. Standard hours equal the 600 denominator hours, so there is no volume variance, and fixed overhead came in $100 under budget. Overall cost was $615 below standard.
Labor-heavy variance
Material hit standard exactly. Workers were paid $1 less per hour ($900 F) but took 900 hours instead of the 800 allowed, a $2,500 unfavorable efficiency variance plus $600 of variable overhead. Only 800 standard hours absorbed fixed overhead at $9 per hour, leaving $1,800 under-absorbed. Net, the period ran $4,000 over standard.
Frequently asked questions
What does a favorable variance mean?+
A favorable (F) cost variance means actual cost was lower than the standard allowed for the output achieved — for example paying less per pound or using fewer labor hours. It is not automatically good: cheap material can cause extra waste and an unfavorable quantity variance.
Why use standard quantity allowed instead of budgeted quantity?+
Variances compare actual cost with what the actual output should have cost. Using standard quantity allowed for actual units (a flexible budget) removes the effect of producing more or fewer units than planned, so price and efficiency are measured fairly.
What is the difference between the material price and quantity variance?+
The price variance measures paying a different price per unit of material, (AP − SP) × AQ. The quantity or usage variance measures using more or less material than allowed, (AQ − SQ) × SP, valued at standard price so price changes do not distort it.
What causes a fixed overhead volume variance?+
Fixed overhead is absorbed at a rate based on denominator (normal capacity) hours. If production needs fewer standard hours than the denominator, fixed overhead is under-absorbed and the volume variance is unfavorable. It reflects capacity use, not spending.
Do the variances add up to the total difference?+
Yes. The eight variances sum exactly to total actual cost minus the standard cost of actual output (standard material, labor, variable overhead and absorbed fixed overhead), which is a good check on your work.
Should the price variance use quantity purchased or quantity used?+
Many companies compute the material price variance when material is purchased, using quantity purchased. This calculator assumes purchases equal usage. If they differ, compute the price variance separately on the purchased quantity.
Results are estimates for educational purposes and are not financial advice. Rates, fees and terms vary — confirm with your lender or a licensed advisor before making decisions.