Pearlman Incorporated makes a single product--an electrical motor used in many long-haul trucks.The company has a standard cost system in which it applies overhead to this product based on the standard labor-hours allowed for the actual output of the period.Data concerning the most recent year appear below: Required:
a.Determine the variable overhead rate variance for the year.
b.Determine the variable overhead efficiency variance for the year.
c.Determine the fixed overhead budget variance for the year.
d.Determine the fixed overhead volume variance for the year.

a.Variable component of the predetermined overhead rate (SR)= $101,460/57,000 labor-hours
= $1.78 per labor-hour
Variable overhead rate variance = (AH × AR)- (AH × SR)
= ($69,938)- (57,800 labor-hours × $1.78 per labor-hour)
= ($69,938)- ($102,884)
= $32,946 F
or
Variable overhead rate variance = AH × (AR - SR)
= 57,800 labor-hours × ($1.21 per labor-hour - $1.78 per labor-hour)
= 57,800 labor-hours × (-$0.57 per labor-hour)
= $32,946 F
b.Labor efficiency variance = (AH - SH)× SR
= (57,800 labor-hours - 55,100 labor-hours)× $1.78 per labor-hour
= (2,700 labor-hours)× $1.78 per labor-hour
= $4,806 U
c.Budget variance = Actual fixed overhead - Budgeted fixed overhead
= $270,860 - $283,860 = $13,000 F
d.Fixed component of the predetermined overhead rate = $283,860/57,000 labor-hours
= $4.98 per labor-hour
Volume variance = Budgeted fixed overhead - Fixed overhead applied to work in process
= $283,860 - ($4.98 per labor-hour × 55,100 labor-hours)
= $283,860 - ($274,398)
= $9,462 U
or
Volume variance = Fixed component of the predetermined overhead rate x (Denominator hours - Standard hours allowed for the actual output)
= $4.98 per labor-hour x (57,000 labor-hours - 55,100 labor-hours)
= $4.98 per labor-hour x (57,000 labor-hours - 55,100 labor-hours)
= $4.98 per labor-hour x (1,900 hours)
= $9,462 U