Posted: 30 Sep 2009 at 21:23 | IP Logged
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materials price variance = AQ(AP-SP) where AQ is actual quantity, AP is actual price, SP is standard price
Because the problem is asking for price variance for units used, quantities are in units used.
AP = $105,000/35,000 = $3 (we use quantity purchased here and only here because unit price is the same, we used a portion of what we purchased for the $105k)
1 unit of final product requires 2 units of raw material (standard quantity allowed), so 12k units final product requires 24k units raw material. SQ = 24k SP = ($60k standard allowed)/(24k units allowed) = $2.50
We still need AQ, and we are not given it. But, we are given that there was an unfavorable quantity variance of $2500. materials quantity variance = SP(AQ-SQ) 2500 = 2.5(AQ-24,000) AQ - 24,000 = 1000 AQ = 25k
Now we can plug into the materials price variance formula: materials price variance = AQ(AP-SP) = 25k($3-$2.5) = $12,500 This is unfavorable because actual price > standard price
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