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The following company information is available. The direct materials quantity variance is: Direct materials used for production 47,000 gallonsStandard quantity for units produced 45,400 gallonsStandard cost per gallon of direct material $ 10.00  Actual cost per gallon of direct material $ 10.20

Question

The following company information is available. The direct materials quantity variance is: Direct materials used for production 47,000 gallonsStandard quantity for units produced 45,400 gallonsStandard cost per gallon of direct material 10.00 Actualcostpergallonofdirectmaterial 10.00  Actual cost per gallon of direct material 10.20

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Solution

The direct materials quantity variance can be calculated using the formula:

Direct materials quantity variance = (Actual quantity - Standard quantity) * Standard price

Given the information:

Actual quantity = 47,000 gallons Standard quantity = 45,400 gallons Standard price = $10.00

Substituting these values into the formula:

Direct materials quantity variance = (47,000 - 45,400) * 10.00Directmaterialsquantityvariance=1,60010.00 Direct materials quantity variance = 1,600 * 10.00 Direct materials quantity variance = $16,000

So, the direct materials quantity variance is $16,000. This is a unfavorable variance because the actual quantity of materials used was greater than the standard quantity expected to be used.

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