a. Determine the direct labor rate, direct labor time, and total direct labor cost variance for the (1) Cutting Department and (2) Sewing Department.
b. Interpret your results.
Answer:
a. (1) Cutting Department
Rate variance:
Direct Labor
Rate Variance =
(Actual Rate per Hour – Standard Rate per Hour)
× Actual Hours
Direct Labor =
Rate Variance ($10.90 – $11.00) × 6,380 hours
Direct Labor
Rate Variance
Time variance:
Direct Labor
Time Variance
= –$638 Favorable
= (Actual Direct Labor Hours – Standard Direct Labor Hours)
× Standard Rate per Hour
Direct Labor
Time Variance
Direct Labor
Time Variance
= (6,380 hrs. – 6,250 hrs.*) × $11.00 per hour
= $1,430 Unfavorable
* 0.25 hr. × 25,000 units
Total direct labor cost variance:
Direct Labor
Cost Variance
Direct Labor
Cost Variance
= Direct Labor Rate Variance + Direct Labor Time Variance
= –$638 Favorable + $1,430 Unfavorable
Direct Labor
Cost Variance
= $792 Unfavorable
(2) Sewing Department
Rate variance:
Direct Labor
Rate Variance =
(Actual Rate per Hour – Standard Rate per Hour)
× Actual Hours
Direct Labor =
Rate Variance (
$11.12 – $11.00) × 9,875 hours
Direct Labor
Rate Variance
Time variance:
Direct Labor
Time Variance
= $1,185 Unfavorable
= (Actual Direct Labor Hours – Standard Direct Labor Hours)
× Standard Rate per Hour
Direct Labor
Time Variance
= (9,875 hrs. – 10,000 hrs.*) × $11.00 per hour
Direct Labor
Time Variance
= –$1,375 Favorable
* 0.40 hr. × 25,000 units
Total direct labor cost variance:
Direct Labor
Cost Variance =
Direct Labor Rate Variance + Direct Labor Time Variance
Direct Labor
Cost Variance
= $1,185 Unfavorable – $1,375 Favorable
Direct Labor
Cost Variance
= –$190 Favorable
b. The two departments have opposite results. The Cutting Department has a
favorable rate and an unfavorable time variance, resulting in a total unfavorable
cost variance of $792. In contrast, the Sewing Department has an unfavorable rate
variance, but has a favorable time variance, resulting in a total favorable cost
variance of $190. The causes of this disparity are worthy of investigation. There
are many possible causes including tight or loose standards, inferior or superior
operating methods, and inappropriate or appropriate use of overtime. Combining
both departments, the overall operation shows an unfavorable cost variance of $602
($792 – $190), as a result of the weak performance in the Cutting Department.
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