Overall Illustrations of Material / Labour / Variable Overhead Variances 6 / 9

Material and Labour Variance Illustrations

Illustration 1 - Materials and Labour

Standard cost card for the production of 1 car

Direct Materials 9kg at $80/kg = $720
Direct Labour 10 hours at $110/hour = $1,100

Total material and labour cost a $1,820 

Actual results for the production of 10 cars

Materials 98kg costing $7,800
Labour 110 hours costing $11,000

What are the materials and labour variances?

  • Solution

    Materials total variance

    Should cost: 10 cars x $720 = $7,200
    Did cost $7,800
    = ($600) Adverse Materials Total Variance 40 - 640 = (600) Adverse as seen below

    Materials price variance

    Should cost: 98kg x $80/kg = $7,840
    Did cost $7,800
    Materials Rate Variance $7,840 - $7,800 = $40 Favourable (Cost less than standard)

    Materials usage variance

    10 cars
    Should use 10 x 9kg = 90kg
    Did use 98kg
    Difference 8kg (Adverse - used more than standard
    x $80/kg = $640 (Adverse)

  • Labour total variance

    10 cars should cost x $1,100 = $11,000
    10 cars did cost $11,000

    Nil overall labour variance, let us investigate further!

    Labour rate variance

    Should cost: 110 hours x $110/hour = $12,100
    Did cost $11,000

    Labour Rate Variance is $1,100 Favourable (cost less than expected)

    Labour efficiency variance

    10 cars
    Should take 10 x 10 hours = 100 hours
    Did take 110 hours
    Difference 10 hours (Adverse - used more than standard
    x $100/kg = $1,100 (Adverse)

    As we saw, the $1,100 Favourable variance is completely negated by the ($1,100) Adverse variance producing a Nil overall Labour variance.

Illustration 2 - Materials and Labour

Standard cost card for the production of 1 car

Direct Materials 10kg at $80/kg = $800
Direct Labour 12 hours at $100/hour = $1,200

Total material and labour cost a $2,000

Actual results for the production of 10 cars

Materials 98kg costing $7,800
Labour 110 hours costing $11,000

What are the materials and labour variances?

  • Solution

    Materials total variance

    Should cost: 10 cars x $800 = $8,000
    Did cost $7,800
    = $200 Favourable Materials Total Variance ($40 + $160) - as seen below

    Materials price variance

    Should cost: 98kg x $80/kg = $7,840
    Did cost $7,800
    Materials Rate Variance $7,840 - $7,800 = $40 Favourable (Cost less than standard)

    Materials usage variance

    10 cars
    Should use 10 x 10kg = 100kg
    Did use 98kg
    Difference 2kg (Favourable - used less than standard
    x $80/kg = $160 Favourable

  • Labour total variance

    10 cars should cost x $1,200 = $12,100
    10 cars did cost $11,000

    Overall $1,100 Labour variance - let us investigate further

    Labour rate variance

    Should cost: 110 hours x $100/hour = $11,000
    Did cost $11,000

    Labour Rate Variance is Nil

    Labour efficiency variance

    10 cars
    Should take 10 x 12 hours = 120 hours
    Did take 110 hours
    Difference 10 hours (Favourable, took less time than standardx $100/kg = $1,000 Favourable

    Overall labour variance is $1,000 (0 + $1,000)

Illustration 3 - Materials / Labour and Variable Overhead Variances

Standard cost card for the production of 1 car

Direct Materials 6kg at $1,000/kg = $6,000
Direct Labour 10 hours at $100/hour = $1,000
V. Ovhd 10 hours at $4/hour = $40 

Total standard cost per car $7,040 

Actual results for the production of 10 cars

Materials 58kg costing $6,100
Labour 86 hours costing $9,100
Variable overhead $360

What are the materials, labour and variable overhead variances?

  • Solution

    Materials total variance

    Should cost: 10 cars x $1,000 = $6,000
    Did cost $6,100
    = ($1,000) Adverse Materials Total Variance ($2,000 - $3,000) - as seen below

    Materials price variance

    Should cost: 58kg x $1,000/kg = $5,800
    Did cost $6,100
    Materials Rate Variance $5,800 - $6,100 = $3,000 Adverse (Cost more than standard)

    Materials usage variance

    10 cars
    Should use 10 x 6kg = 60kg
    Did use 58kg
    Difference 2kg (Favourable - used less than standard
    x $1,000/kg = $2,000 Favourable

  • Labour total variance

    10 cars should cost x $1,000 = $10,000
    10 cars did cost $9,100

    Overall $900 Favourable Labour variance - let us investigate further

    Labour rate variance

    Should cost: 86 hours x $100/hour = $8,600
    Did cost $9,100

    Labour Rate Variance ($500) Adverse

    Labour efficiency variance

    10 cars
    Should take 10 x 10 hours = 100 hours
    Did take 86 hours
    Difference 14 hours Favourable, took less time than standard $100/hour = $1,400 Favourable

    Overall labour variance is $900 ($1,400 + $500)

  • Variable overhead variance

    Variable overhead rate variance

    86 hours should pay x $4 = $344
    86 hours did pay $360

    ($16) Adverse variable overhead rate variance

    Labour efficiency variance

    10 cars
    Should take 10 x 10 hours = 100 hours
    Did take 86 hours
    Difference 14 hours (Favourable, took less time than standard $4/hour = $56 Favourable

    Overall variable overhead variance is $40 ($56 - $16)

Illustration - working backwards

Product A has these standards:

Direct materials 2kg at $10/kg

100 units were produced 

There was an adverse materials usage variance of ($50)

How many kg of material were actually used?

Adverse variance (50) = Adverse kg x Standard cost per kg = 10/kg 

Therefore, 5kg more were used than should have been.

To produce 100 units x 2kg should be used per unit = 200kg + 5kg (more used) = 205kg were actually used.