Solution 1:
Standard rate of labor = $46 per hour
Let standard hours allowed = X hours
Actual direct labor hours = X * 123% = 1.23 X hours
Direct labor efficiency variance = $48,000 U
(SH - AH) * SR = -$48,000
(X - 1.23X) * $46 = -$48,000
X = 4536.86 hours
Standard direct labor cost = Standard hours allowed * standard rate = 4536.86 * $46 = $208,696
Hence last option is correct.
Solution 2:
Material purchase price variance = $980 F
(SP - AP) * AQ = $980
($9.10 - $9.08) * AQ = $980
AQ = 49000 Square foot
SQ for actual output = 10000 square feet
Material quantity variance = (SQ - AQ) * SR
= (10000 - 49000) * $9.10 = $354,900 U
Material flexible budget variance = Material price variance + Material quantity variance
= $980 F + $354,900 U = $353,920 U
Hence 2nd option is correct.
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