a. Variable component of the predetermined overhead rate (Standard rate) = $96,720/39,000 machine-hours
= $2.48 per machine-hour
Variable overhead rate variance = (Actual hours × Actual rate) − (Actual hours × Standard rate)
= ($53,600) − (33,500 machine-hours × $2.48 per machine-hour)
= ($53,600) − ($83,080)
= $29,480 Favorable
b. Labor efficiency variance = (Actual hours − Standard hours) × Standard rate
= (33,500 machine-hours − 32,500 machine-hours) × $2.48 per machine-hour
= (1,000 machine-hours) × $2.48 per machine-hour
= $2,480 Unfavorable
c. Budget variance = Actual fixed overhead − Budgeted fixed overhead
= $242,270 − $231,270 = $11,000 Unfavorable
d. Fixed component of the predetermined overhead rate = $231,270/39,000 machine-hours
= $5.93 per machine-hour
Volume variance = Budgeted fixed overhead − Fixed overhead applied to work in process
= $231,270 − ($5.93 per machine-hour × 32,500 machine-hours)
= $231,270 − ($192,725)
= $38,545 Unfavorable
e. Predetermined overhead rate = $327,990/39,000 machine-hours = $8.41 per machine-hour