SOLUTION
Medium speed bump
1. Actual quantity purchase and used per unit
Material price variance = Actual quantity * (Standard price per pound - Actual price per pound)
1,500 U = Actual quantity * ($1.00 - $1.50)
Actual quantity purchase and used = 1,500 / 0.5 = 3,000
Actual quantity purchase and used per unit = 3,000 / 200 = $15
2. Total direct material price variance = Direct material price variance + Direct material quantity variance
= 1,500 U + 400 F
= 1,100 U
Large speed bump
1. Total direct material price variance = Direct material price variance + Direct material quantity variance
1,840 U = 3,400 U + Direct material quantity variance
Direct material quantity variance = 1,840 - 3,400
= 1,560 F
2. Actual quantity consumed = 400 * 17 = 6,800
Material Quantity variance= Standard price (Standard quantity- Actual quantity)
1,560 F = 1.30 * (Standard quantity- 6,800)
Standard quantity = 8,000
Standard quantity per unit = 8,000 / 400 = 20
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