Variance for performance is due to the more efficient use of the time available to carry out the actual production. It compares the actual time taken to carry out an activity with the standard time allowed and values the difference at the standard.           

            Performance variance = (Actual hours – Standard hours) x standard hourly rate 

In our example, the standard machine time to produce 1 ton of product Alpha is 1,2 h, if the actual time is higher, there is an unfavorable performance variance, on the contrary if the actual time is less than 1,2 h / ton, there is a favorable performance variance.  

Itself broken down into: 

• Price variance

This is the difference between actual fixed costs and budgeted fixed costs “spring”.

 Price variance = Actual fixed costs – Budgeted fixed costs “spring”

 In our example, we budgeted the annual fixed costs “spring” at 1 600 k€. If actual fixed costs are greater than 1 600 k€, there is an unfavorable price variance; if the actual fixed costs are less than 1 600 k€, there is a favorable price variance.

• Absorption variance

Standard fixed costs are assigned to each finished product by multiplying the standard hourly rate by the actual hours of production. 

The variance for over- or under-activity is the difference between budgeted fixed costs and the amount of fixed costs allocated to production.         

Absorption variance

= - (Actual hours – Standard hours “normal capacity”) x Standard hourly rate + (Budgeted fixed costs “spring” – Standard fixed costs budget)

 In our example, we budgeted a “normal capacity” at 8 140 hours. If actual hours are greater than 8 140 hours, there is a favorable variance called over absorption, but if the actual hours are less than 8 140 hours, there is an unfavorable variance called under absorption.

Note: use the appropriate file to split variance for price and variance for over- or under-activity by production centre.             

If variances are due to nonrecurring reasons (temporary events like equipment breakdown) that do not question the accuracy of the standard cost, the variance has to go directly in the profit and loss statement. 

If variances are due to recurring reasons (modifications in the production process not taken in the routings, reorganization of the plant), variances must immediately be incorporated into a new semi-standard.          

-   Absorption variance 

“Variance for over- or under-activity” can never be added to any inventory account. The variance goes directly to the profit and loss statement. It increases the net income if the variance is favorable or decrease the net income if the variance is unfavorable. 

-   Price variance 

The “variance for price” is never significant in amount compared to the end of period inventory proportionally to the period production. So the entire amount is put in the P&L. 

We begin by determining actual hours used to produce 3 000 tons of finished products 

= Quantity produced α            x actual throughput α + Quantity produced β            x actual throughput β

= 1 500 To                               x 1,3 h/To                                + 1 500 To                               x 1,0 h/To

= 3 450 hours

There is an unfavorable variance for performance because 3 450 hours were used to produce 3 000 tons of finished products. This is 150 hours more than the standard quantity.

The “variance for price” is never significant in amount compared to the end of period inventory proportionally to the period production. So the entire amount is put in the P&L. 

The additional 150 hours is multiplied by the standard rate of 245 € to give an unfavorable performance variance of 150 x 245 € = 36 750 €

We begin by determining fixed costs absorbed by the production in 2010 knowing that the average production time per ton of product Alpha is 1,3 h / ton and 1,0 h / ton. 

The amount of fixed costs absorbed into each product is calculated by multiplying the standard hourly rate by the actual number of hours. The amounts absorbed are thus: 

Alpha   = Quantity produced α                        x          actual throughput α     x          standard hourly rate A

            = 1 500 To                                           x          1,3 h / To                                 x          245 € / h

            = 477 750 €

Beta     = Quantity produced β                        x          actual throughput β     x          standard hourly rate A

            = 1 500 To                                           x          1,0 h / To                                 x          245 € / h

            = 367 500 €

Total fixed costs absorbed = 477 750 + 367 500 = 845 250 €

The analysis shows that the actual fixed costs are 1 500 k€ and the fixed costs absorbed by the production are 845 k€. This unfavorable difference of 655 k€ is the sum of the two variances:

Variance for price                                           1 600 k€ - 1 500 k€     =          100 k€             Favorable       

Variance for over- or under-activity                                                               755 k€             Unfavorable

Total variance cost centers variance                                                        655 k€             Unfavorable