Answer and Explanation:
1. The computation of materials price and quantity variances for the year is shown below:-
Material price variance = Actual quantity × (Actual rate - Standard rate)
= 67,000 × ($3.00 - $2.80)
= 67,000 × $1.80
= $120,600 unfavorable
Material quantity variance = (Actual quantity - Standard quantity) × Standard price
= 67,000 - (20,000 × 3.50)) × $2.80
= (67,000 - 70,000) × $2.80
= $8,400 favorable
2. The computation of the labor rate and efficiency variances for the year is shown below:
Labor rate variance is
= (Actual rate - standard rate) × Actual hours
= ($11.80 - $12) × 58,000 direct labor hours
= $11,600 favorable
labor efficiency variance is
= (Actual hours - standard hours) × standard rate
= (58,000 direct labor hours - 20,000 units × 2.8 direct labor hours) × $12
= $24,000 unfavorable
3. a. The computation of variable overhead rate and efficiency variances for the year is shown below:-
variable overhead rate = Actual hours × (Actual rate - Standard rate)
= 58,000 × ($133,400 ÷ 58,000 - $2.00)
= $17,400 Unfavorable
Variable overhead efficiency variance = (Actual hours - Standard hours) × Standard rate
= (58,000 - (20,000 × $2.8)) × $2.00
= (58,000 - 56,000) × $2.00
= $4,000 Unfavorable
3. b. The computation of fixed overhead budget and volume variances for the year is shown below:-
fixed overhead budget variance = Actual fixed overhead - Budgeted fixed overhead
= $312,000 - $315,000
= $3,000 Favorable
Volume variance = (Standard hours allowed - Denominator activity level) × Fixed overhead rate per hour
= ((20,000 × $2.8) - 52,500) × $6.00
= $56,000 - 52,500) × $6.00
= $3,500 × $6.00
= $21,000