Answer:
a. $13
b. $20,625 Unfavorable
Explanation:
a. Computation of overhead volume variance is shown below:-
Variable overhead rate = Variable overhead cost ÷ Expected standard hours
= $275,000 ÷ 25,000
= 11 direct labor hour
Fixed overhead rate = Productive capacity ÷ Expected standard hours
= $50,000 ÷ 25,000
= $2 direct labor hour
Total overheard rate = Variable overhead rate + Fixed overhead rate
= $11 + $2
= $13
b. The computation of overhead controllable variance is shown below:-
Variable overhead cost = Overhead rate × Standard hours
= $11 × 21,875
= $240,625
Fixed overhead cost = Overhead rate × Standard hours
= $2 × 21,875
= $43,750
Total overhead cost = $13 × 21,875
= $284,375
Actual result = $305,000
Variance = Actual result - overhead cost applied
= $305,000 - $284,375
= $20,625 Unfavorable
Working note:-
Standard direct labor hours = Actual units ÷ Standard hours
= 35,000 × 1.6
= $21,875
Standard units per hour = (Standard capacity × Expected production) ÷ Standard hours
= (50,000 units × 80%) ÷ 25,000 hours
= 1.6 units per hour