Solution 1:
Standard overhead rate = $35 per hour
Fixed overhead rate = $5.75 per hour
Standard variable overhead rate = $35 - $5.75 = $29.25 per hour
Variable factory overhead controllable variance = Actual variable overhead cost - Standard variable overhead cost
= $170,200 - (6000*$29.25) = -$5,300 Favorable
Fixed factory overhead volume variance = budgeted fixed overhead - Fixed overhead applied
= $57,500 - (6000*$5.75) = $23,000 Unfavorable
Total factory overhead cost variance = -$5,300 + $23,000 = $17, 700 Unfavorable
Solution 2:
Standard quantity of material per unit = $32,400 / ($0.60*18000) = 3 units
standard labor hour per unit = $8,100 / ($9*18000) = 0.05 hour per unit
Actual quantity of material used = $29,100 / $0.60 = 48500 units
Actual hours of labor = $7,300 / 9 = 811.111111 hours
Direct material quantity variance = (AQ - SQ) * SP = (48500 - 15700*3) * $0.60 = $840 Unfavorable
Direct labor time variance = (AH - SH) * SR = (811.11111 - 15700*0.05) * $9 = $235 unfavorable
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