1. Material price variance = (Standard price - Actual price) * Actual quantity
Standard price = $5.4 per unit
Actual price = $5.15 per unit
Actual quantity = 27300 units
Now, putting these values in the above formula, we get,
Material price variance = ($5.4 - $5.15) * 27300
Material price variance = $0.25 * 27300 = $6825
Since the variance is positive, so it is a favorable variance.
Material quantity variance = (Standard quantity for actual units - Actual quantity) * Standard price
Standard price = $5.40 per unit
Standard quantity = 3.50 units
Actual units = 7700 units
Standard quantity for actual units = 7700 * 3.50 = 26950
Actual quantity = 27300
Now, putting these values in the above formula, we get,
Material quantity variance = (26950 - 27300) * $5.40
Material quantity variance = -350 * $5.40 = - $1890
Since the variance is negative, so it is unfavorable variance.
Total material variance = Material price variance + Material quantity variance
Total Material variance = $6825 + (-$1890) = $4935
Since the variance is positive, so it is a favorable variance.
2. When the actual purchase price is $5.50 and actual quantity is 26800 units
Material price variance = (Standard price - Actual price) * Actual quantity
Standard price = $5.4 per unit
Actual price = $5.50 per unit
Actual quantity = 26800 units
Now, putting these values in the above formula, we get,
Material price variance = ($5.4 - $5.50) * 26800
Material price variance = - $0.10 * 26800 = - $2680
Since the variance is negative, so it is unfavorable variance.
Material quantity variance = (Standard quantity for actual units - Actual quantity) * Standard price
Standard price = $5.40 per unit
Standard quantity = 3.50 units
Actual units = 7700 units
Standard quantity for actual units = 7700 * 3.50 = 26950
Actual quantity = 26800
Now, putting these values in the above formula, we get,
Material quantity variance = (26950 - 26800) * $5.40
Material quantity variance = 150 * $5.40 = $810
Since the variance is positive, so it is a favorable variance.
Total material variance = Material price variance + Material quantity variance
Total Material variance = (- $2680) + $810 = - $1870
Since the variance is negative, so it is an unfavorable variance.
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