High School

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Ed Co. manufactures two types of O-rings: large and small. Both rings use the same material but require different amounts. The standard materials for both types are shown below:

- **Large O-ring**
- Rubber: 3 feet at $0.20 per foot
- Connector: 1 at $0.02

- **Small O-ring**
- Rubber: 1.25 feet at $0.20 per foot
- Connector: 1 at $0.02

At the beginning of the month, Ed Co. bought 26,000 feet of rubber for $7,150. The company produced 3,000 large O-rings and 4,000 small O-rings, using 14,600 feet of rubber.

Calculate the following:

1. Direct materials price variance
2. Direct materials quantity variance
3. Total direct materials cost variance

Answer :

The direct materials price variance is -$1,950, the direct materials quantity variance is -$120, and the total direct materials cost variance is -$2,070. All variances are unfavorable as actual costs are higher than standard costs.

The question involves computing the direct materials price variance, the direct materials quantity variance, and the total direct materials cost variance for Ed Co. based on their production of O rings. To solve this, we first need to calculate the standard cost per foot of rubber and compare it to the actual cost paid. Next, we determine the standard quantity for the actual production and compare it to the actual quantity used.

Direct Materials Price Variance

Standard cost per foot = $0.20

Actual cost per foot = $7,150 / 26,000 feet = $0.275

Price variance = (Standard cost - Actual cost) x Actual quantity purchased

Price variance = ($0.20 - $0.275) x 26,000 feet

Price variance = -$1,950 (Unfavorable)

Direct Materials Quantity Variance

Standard quantity for large O rings = 3 feet x 3,000 rings = 9,000 feet

Standard quantity for small O rings = 1.25 feet x 4,000 rings = 5,000 feet

The total standard quantity = 9,000 feet + 5,000 feet = 14,000 feet

Quantity variance = (Standard quantity - Actual quantity) x Standard cost per foot

Quantity variance = (14,000 feet - 14,600 feet) x $0.20/foot

Quantity variance = -$120 (Unfavorable)

Total Direct Materials Cost Variance

Total cost variance = Price variance + Quantity variance

Total cost variance = -$1,950 (Price) - $120 (Quantity)

Total cost variance = -$2,070 (Unfavorable)

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