Answer:
1. Total hours allowed = 40,000
Actual direct labour hours worked = 52,000.
2. Standard hourly rate = $10
Actual rate = $10.2
3. Actual output= 20,000 units
Explanation:
The variable overhead efficiency variance in hours= variable overhead efficiency variance in Dollar/Variable overhead standard rate
= $24,000/$2= 12,000 hours unfavorable
Let the actual hours be V
Let the standard hours for the actual output achieved be = V
The actual hours worked = 130% of the standard hours allowed
Actual hours =130% × V = 1.3V
1.3V - V= 12,000
V=12000/0.3=40,000
Total hours allowed = 40,000
Actual labour hours= 130%× 40,000=52,000
Total hours allowed = 40,000
Actual direct labour hours worked = 52,000.
Standard labour rate =
Labour effciency variance in Dollar /Labour efficiency variance in hours
= 120,000/12,000=$10
Standard hourly rate = $10
Rate variance = (Actual rate - standard rate)× Actual hours
Let the actual rate be = Y
10,400 = ( Y - 10) × 52,000
10,400= 52000Y- 520,000
Y= (520,000 + 10,400)/52,000=10.2
Actual rate = $10.2
Standard labour hours for actual output = Actual output × standard hours
Let the actual output be = m
40,000 = m × 2
m= 40,000/2= 20,000 units
Actual output= 20,000 units
