Compute the materials price and quantity variances for the month.
Direct materials price variance | $1,360 | F |
Direct materials quantity variance | $8,160 | U |
Explanation:
Notice
in the solution below that the materials price variance is computed for
the entire amount of materials purchased, whereas the materials
quantity variance is computed only for the amount of materials used in
production.
|
Actual Quantity of Input, at Actual Price | | Actual Quantity of Input, at Standard Price | | Standard Quantity Allowed for Output, at Standard Price |
(AQ × AP)
| |
(AQ × SP)
| |
(SQ × SP)
|
| | | | |
13,600 pounds × $2.90 per pound | | 13,600 pounds × $3.00 per pound | | 9,520 pounds* × $3.00 per pound |
= $39,440 | | = $40,800 | | = $28,560 |
|
Price Variance, $1,360 F
| | |
|
| | 12,240 pounds × |
| |
| | $3.00 per pound |
| |
| | | = $36,720 | |
| |
| | | |
Quantity Variance, $8,160 U
| |
*1,360 units × 7.0 pounds per unit = 9,520 pounds
Alternatively, the variances can be computed using the formulas: |
Materials price variance = AQ (AP – SP) |
13,600 pounds ($2.90per pound – $3.00 per pound) = $1,360 F |
Materials quantity variance = SP (AQ – SQ) |
$3.00 per pound (12,240 pounds – 9,520 pounds) = $8,160 U |
|
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