STANDARD COSTING (MATERIAL & LABOUR VARIANCES)

1.Material Variance

1.1    Material costs variance = (Standard quantity x Standard Price) - (Actual quantity x Actual price)
MCV = (SQ x SP) - (AQ x AP)
1.2    Material price variance = Actual quantity x (Standard price - Actual price)
MPV = AQ x (SP - AP)
1.3    Material usage variance = Standard price (Standard quantity - Actual quantity)
MUV = SP x (SQ -AQ)
1.4    Material cost variance = Material usage variance + Material price variance
MCV = MUV + MPV
Material usage variance is further sub-divided into:
i)      Material mix variance
ii)      Material yield variance. (Or Material sub-usage variance)
1.5    Material mix variance = (Revised standard quantity - Actual quantity) x Standard price
MMV = (RSQ - AQ) x SP
Revised standard quantity = (Standard quantity of one material x Total of actual quantities of all materials) / Total of standard quantities s of all materials
1.6   Material revised usage variance= (Standard quantity-Revised standard quantity) x Standard Price
MRUV = (SQ - RSQ) x SP
1.7    Material yield variance = (Actual yield - Standard yield) x Standard output price
MYV = (AY - SY) x SOP
Material usage variance = Material mix variance + Material yield variance (MUV= MMV + MYV)
Material usage variance = Material mix variance + Material revised usage variance (MUV = MMV + MRUV)

Note: Material revised usage variance is also known as material sub - usage variance. In each case there will be only one variance either material yield or material revised Usage variance.
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2.1 Labour Cost variance = (Std. hours for actual output x Std. rate per hour) - (Actual hours x Actual    rate per hour)
LCV = (SH x SR) - (AH x AR)
2.2 Labour rate variance = Actual time (Std. rate - Actual rate)
LRV = AH x (SR - AR)
2.3 Labour efficiency (or time) variance = Std. rate (Std. hours for actual output-Actual hours)
LEV= SR x (SH - AH) 
Check: Labour cost variance = Labour efficiency variance + Labour rate variance LCV = LEV +      LRV
Labour efficiency variance is further divided into the following variances:
(i)      Idle time variance
(ii)     Labour mix variance
(iii)   Labour yield variance (or Labour revised-efficiency variance)
2.4 Idle time variance = Idle hours x Standard rate
ITV = IH x SR
2.5 Labour mix variance = (Revised std. hours - Actual hours) x Standard rate
LMV = (RSH - AH) x SR
2.6 Labour revised efficiency variance = (Std. hours for actual output-Revised std. hours) x Standard    rate
LREV = (SH - RSH) x SR
2.7 Labour yield variance = (Actual yield-Std. yield from actual input) x Std. Labour cost per unit of  output
LYV = (AY - SY) x SLC
Check: Labour efficiency variance= Idle time variance + Labour mix variance + Labour yield variance 
LEV = ITV + LMV + LYV (or LREV)