Answer:
Budgeted COGS = $134 x 3,550 units = $479,250
Actual COGS = $482,151.42, so the total variance was $2,901.42 U
Swain Company
Income statement
Total revenue $603,500
COGS: ($482,151.42)
- Direct materials $217,925.67
- Direct labor $14,300.75
- Fixed overhead $249,925
Gross profit $121,348.58
S&A expenses ($54,500)
Net profit $66,848.58
Retained earnings = $65,000 + $66,848.58 = $131,848.58
Step-by-step explanation:
retained earnings $65,000
total sales $603,500
number of units sold = $603,500 / $170 per unit = 3,550 units
selling and administrative expenses $54,500
materials quantity variance = (actual quantity - standard quantity) x standard price = $9,250 favorable. This means that the company used fewer materials than budgeted: -$9,250 = (actual quantity - 24,850) x $9
actual quantity used = (-$9,250 / $9) + 24,850 pounds = 23,822.22 pounds less
materials price variance = (actual cost - standard cost) x units purchased = $3,525 U. This means that the company paid $3,525 more for materials than it had estimated: $3,525 = (actual cost - $9) x 23,822.22 pounds
actual cost = ($3,525 / 23,822.22 pounds) + $9 = $9.148 per pound
*the only way 2 labor hurs x standard cost = $1, is that standard cost = $0.50
labor efficiency variance = (actual hours - standard hours) x standard rate = $6,725 = (actual hours - 7,100) x $0.50:
actual hours = ($6,725 / $0.50) + 7,100 = 20,550 hours
labor rate variance = actual hours x (actual rate - standard rate) = $4,025 = 7,660.42 hours x (actual rate - $12):
actual rate = ($4,025 / 20,550 hours) + $0.50 = $0.6959
fixed overhead budget variance = actual fixed overhead - budgeted overhead = $1,425 U = actual fixed overhead - $248,500:
actual fixed overhead = $248,500 + $1,425 = $249,925
actual fixed overhead per unit = $249,925 / 3,550 = $70.4014
fixed overhead volume variance = (actual hours - standard hours) x actual fixed overhead per unit = -$6,000 F = (actual hours - 3.5 hours) x $70.4014:
actual overhead hours = (-$6,000 / $70.4014) + 12,425 hours = -85.23 + 12,425 = 12,339.77 hours