World Company expects to operate at 80% of its productive capacity of 50,000 units per month. At this planned level, the company expects to use 25,000 standard hours of direct labor. Overhead is allocated to products using a predetermined standard rate based on direct labor hours. At the 80% capacity level, the total budgeted cost includes $50,000 fixed overhead cost and $275,000 variable overhead cost. In the current month, the company incurred $305,000 actual overhead and 22,000 actual labor hours while producing 35,000 units. (Do not round your intermediate calculations.)

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

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