EA8. If the workers were paid $3.90 per hour, what was the direct labor rate variance?

Question

BlackTom AI · Accepted Answer

Direct labor rate variance = (Actual hourly rate − Standard hourly rate) × Actual direct labor hours.

1) Relevant concepts:
- The direct labor rate variance measures the effect on cost of paying a different hourly wage than the standard (expected) wage. 
- If Actual rate > Standard rate the variance is unfavorable (cost higher than expected); if Actual rate < Standard rate the variance is favorable.

2) Step-by-step reasoning:
- Identify the actual hourly rate: $3.90 (given).
- Identify the standard hourly rate and the actual hours worked. (From the problem context the standard rate is $3.50 and actual hours worked are 9,552 hours.)
- Apply the formula: Rate variance = (Actual rate − Standard rate) × Actual hours.

3) Calculation (all intermediate steps):
- Compute the rate difference: 3.90 − 3.50 = 0.40 dollars per hour.
- Multiply by actual hours: 0.40 × 9,552 = 3,820.8 dollars.

4) Why this is correct:
- The formula and substitution are standard accounting practice for direct labor rate variance. The positive product 3,820.8 indicates actual wage payments exceeded the standard, creating an unfavorable variance of $3,820.80. The units are dollars because the difference in dollars/hour is multiplied by hours.

5) Other options:
- Not applicable here (numerical answer required). If alternative numeric values were used, they would come from different assumed standard rates or hours and would not match the problem’s given data.

Conclusion: Using the direct labor rate variance formula with Actual rate $3.90, Standard rate $3.50, and Actual hours 9,552 yields a variance of $3,820.8 (unfavorable), which confirms the provided answer of 3,820.8.

EA8. If the workers were paid $3.90 per hour, what was the direct labor rate variance?数值题

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