Answer and Explanation:
1. The computation of direct materials price and quantity variances is shown below:-
Actual Cost = Actual quantity × Actual price
= 17,000 × $4.20
= $71,400
The Standard cost for actual quantity = Actual quantity × Standard price
= 17,000 × $4.00
= $68,000
Standard Cost = Standard quantity × Standard price
= (30,030 ÷ 0.50) × $4.00
= 15,015 × $4.00
=$60,060
Now the material price variance is
= Actual Quantity × (Standard Price - Actual Price)
= 17,000 × ($4 - $4.20)
= 17,000 × $0.20
= $3,400 unfavorable
The material quantity variance is
= Standard Price × (Standard Quantity - Actual Quantity)
= $4 × (15,015 - 17,000)
= $4 × 1,985
= $7,940 unfavorable
2. The computation of direct labor rate and efficiency variances is shown below:-
Actual Cost = Actual hours × Actual rate
= 5550 × $19.10
= $106,005
The Standard cost for actual quantity = Actual hours × Standard rate
= 5,550 × $20.00
= $111,000
Standard Cost = Standard hours × Standard rate
= 5005 × $20.00
= $100,100
The labor rate variance is
= Actual Hours × (Actual rate - standard rate)
= 5,550 × ($19.10 per hour - $20 per hour)
= 5,550 × $0.90 per hour
= $4,995 favorable
The labor efficiency variance is
= Standard Rate × (Actual hours - Standard hours)
= $20 per hour × (5,550hours - 5,005 hours)
= $20per hour × 545 hours
= $10,900 unfavorable