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ABC Company has set the following standards for one unit of product: Direct materials: 0.5 pounds @ $1.00 per pound; Direct labor: 1 hour @ $10.00 per hour. The company produced 35,000 units and had the following actual costs: Direct materials: 18,000 pounds at a total cost of $17,280; Direct labor: 36,000 hours at a total cost of $374,400. Compute the direct materials price variance.

Question

ABC Company has set the following standards for one unit of product: Direct materials: 0.5 pounds @ 1.00perpound;Directlabor:1hour@1.00 per pound; Direct labor: 1 hour @ 10.00 per hour. The company produced 35,000 units and had the following actual costs: Direct materials: 18,000 pounds at a total cost of 17,280;Directlabor:36,000hoursatatotalcostof17,280; Direct labor: 36,000 hours at a total cost of 374,400. Compute the direct materials price variance.

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Solution 1

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

Price Variance = (Actual Quantity x Standard Price) - Actual Cost

First, we need to calculate the standard price for the actual quantity of direct materials used:

Standard Price = 0.5 pounds/unit x 1.00/pound=1.00/pound = 0.50/unit

Actual Quantity = 18,000 pounds / 0.5 pounds/unit = 36,000 units

So, Actual Quantity x Standard Price = 36,000 units x 0.50/unit=0.50/unit = 18,000

Then, we subtract the actual cost from this:

Price Variance = 18,00018,000 - 17,280 = $720

So, the direct materials price variance is $720. This is a favorable variance, as the actual cost was less than the standard cost.

This problem has been solved

Solution 2

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

Price Variance = (Actual Quantity x Standard Price) - Actual Cost

First, we need to calculate the standard price for the actual quantity of direct materials used:

Standard Price = 0.5 pounds/unit x 1.00/pound=1.00/pound = 0.50/unit

Actual Quantity = 18,000 pounds / 0.5 pounds/unit = 36,000 units

So, Actual Quantity x Standard Price = 36,000 units x 0.50/unit=0.50/unit = 18,000

Then, we subtract the actual cost from this:

Price Variance = 18,00018,000 - 17,280 = $720

So, the direct materials price variance is $720. This is a favorable variance, as the actual cost was less than the standard cost.

This problem has been solved

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