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The standard price of materials is $4.10 per pound and the standard quantity allowed for actual output is 5,800 pounds. If the actual quantity purchased and used was 6,000 pounds, and the actual price per pound was $4.00, the materials price variance is

Question

The standard price of materials is 4.10perpoundandthestandardquantityallowedforactualoutputis5,800pounds.Iftheactualquantitypurchasedandusedwas6,000pounds,andtheactualpriceperpoundwas4.10 per pound and the standard quantity allowed for actual output is 5,800 pounds. If the actual quantity purchased and used was 6,000 pounds, and the actual price per pound was 4.00, the materials price variance is

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Solution

The materials price variance can be calculated using the formula:

Materials Price Variance = (Actual Quantity * Actual Price) - (Actual Quantity * Standard Price)

First, calculate the total actual cost of the materials:

Actual Quantity * Actual Price = 6,000 pounds * 4.00/pound=4.00/pound = 24,000

Then, calculate the total standard cost of the materials:

Actual Quantity * Standard Price = 6,000 pounds * 4.10/pound=4.10/pound = 24,600

Finally, subtract the standard cost from the actual cost to find the materials price variance:

Materials Price Variance = 24,00024,000 - 24,600 = -$600

So, the materials price variance is -600.Thismeansthattheactualcostwas600. This means that the actual cost was 600 less than the standard cost.

This problem has been solved

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