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The following information relates to production activities of Mercer Manufacturing for the year. Actual direct materials used 17,000 pounds at $4.55 per poundActual direct labor used 17,635 hours at $29 per hourActual units produced 32,000Standard quantity and price per unit for direct materials 0.50 pound at $4.50 per poundStandard quantity and rate per unit for direct labor 0.50 hour at $30 per hourAR = Actual RateSR = Standard RateAQ = Actual QuantitySQ = Standard QuantityAP = Actual PriceSP = Standard Price (1) Compute the direct materials price and quantity variances.

Question

The following information relates to production activities of Mercer Manufacturing for the year. Actual direct materials used 17,000 pounds at 4.55perpoundActualdirectlaborused17,635hoursat4.55 per poundActual direct labor used 17,635 hours at 29 per hourActual units produced 32,000Standard quantity and price per unit for direct materials 0.50 pound at 4.50perpoundStandardquantityandrateperunitfordirectlabor0.50hourat4.50 per poundStandard quantity and rate per unit for direct labor 0.50 hour at 30 per hourAR = Actual RateSR = Standard RateAQ = Actual QuantitySQ = Standard QuantityAP = Actual PriceSP = Standard Price (1) Compute the direct materials price and quantity variances.

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Solution

To compute the direct materials price and quantity variances, we first need to understand what these variances represent.

  1. Direct Materials Price Variance: This is the difference between the actual cost of direct materials and the standard cost, multiplied by the actual quantity of materials used.

  2. Direct Materials Quantity Variance: This is the difference between the actual quantity of materials used and the standard quantity, multiplied by the standard price of materials.

Now, let's calculate:

  1. Direct Materials Price Variance:

    Formula: (AR - SR) * AQ

    Here, AR (Actual Rate) = 4.55perpoundSR(StandardRate)=4.55 per pound SR (Standard Rate) = 4.50 per pound AQ (Actual Quantity) = 17,000 pounds

    So, Direct Materials Price Variance = (4.55 - 4.50) * 17,000 = $850 (Unfavorable)

  2. Direct Materials Quantity Variance:

    Formula: (AQ - SQ) * SR

    Here, SQ (Standard Quantity) for 32,000 units = 0.50 pound/unit * 32,000 units = 16,000 pounds

    So, Direct Materials Quantity Variance = (17,000 - 16,000) * 4.50 = $4,500 (Unfavorable)

So, the direct materials price variance is 850(Unfavorable)andthedirectmaterialsquantityvarianceis850 (Unfavorable) and the direct materials quantity variance is 4,500 (Unfavorable).

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