Final answer:
The total materials variance is $34,040 with an unfavorable materials price variance of -$2,680 and an unfavorable materials quantity variance of -$31,360.
Step-by-step explanation:
The total materials variance can be calculated by subtracting the actual cost of materials from the standard cost of materials:
Total materials variance = (Actual Quantity x Actual Price) - (Standard Quantity x Standard Price)
Given the information:
- Actual Quantity = 26,800 units
- Actual Price = $5.30 per unit
- Standard Quantity = 8,000 units
- Standard Price = $5.40 per unit
Plugging in these values, the total materials variance is ($142,040 - $108,000) = $34,040.
The materials price variance can be calculated by subtracting the actual price per unit from the standard price per unit and multiplying it by the actual quantity:
Materials price variance = (Actual Price - Standard Price) x Actual Quantity
Plugging in the values, the materials price variance is ($5.30 - $5.40) x 26,800 = -$2,680 (unfavorable).
The materials quantity variance can be calculated by subtracting the actual quantity used from the standard quantity and multiplying it by the standard price per unit:
Materials quantity variance = (Standard Quantity - Actual Quantity) x Standard Price
Plugging in the values, the materials quantity variance is (8,000 - 26,800) x $5.40 = -$31,360 (unfavorable).