Final answer:
To calculate the total direct materials variance, find the difference between the actual cost incurred ($3,115,000) and the standard cost for actual production ($3,080,000). The result is an unfavorable variance of $35,000 because the actual cost is higher than the standard cost.
Step-by-step explanation:
To compute the total direct materials variance, we first need to establish the standard cost for the actual production and then compare it to the actual cost incurred. The standard cost is calculated based on the standard quantity and standard price for the materials.
- Standard cost per unit: 4 pounds × $7 per pound = $28 per unit
- Standard cost for actual production: 110,000 units × $28 per unit = $3,080,000
- Actual cost incurred: $3,115,000
The total direct materials variance is found by subtracting the standard cost for actual production from the actual cost incurred.
Total direct materials variance = Actual cost - Standard cost for actual production = $3,115,000 - $3,080,000 = $35,000
Since the actual cost exceeds the standard cost, the variance is unfavorable.