Final answer:
To calculate the variances for direct materials, calculate the price variance as the actual quantity of materials purchased multiplied by the difference between the actual price paid and the standard price, and calculate the quantity variance as the difference between the actual quantity used and the standard quantity allowed, multiplied by the standard price. For direct labor, calculate the rate variance as the actual hours worked multiplied by the difference between the actual rate and the standard rate, and calculate the efficiency variance as the difference between the actual hours worked and the standard hours allowed, multiplied by the standard rate. For variable overhead, calculate the rate variance as the actual hours worked multiplied by the difference between the actual rate and the standard rate, and calculate the efficiency variance as the difference between the actual hours worked and the standard hours allowed, multiplied by the standard rate.
Step-by-step explanation:
To calculate the variances for direct materials:
- The price variance is calculated as the actual quantity of materials purchased multiplied by the difference between the actual price paid and the standard price.
Price variance = (10,000 ounces x ($287,000/10,000 ounces - $30.00/ounce)) = $
370,000 U - The quantity variance is calculated as the difference between the actual quantity used and the standard quantity allowed, multiplied by the standard price.
Quantity variance = (10,000 ounces - 3,400 ounces) x $30.00/ounce = $204,000 F
The company should consider signing a long-term contract with the new supplier if the price variance is favorable, indicating that the actual price paid is lower than the standard price. However, the decision to sign a contract should also consider other factors such as the supplier's reliability and quality of materials.
To calculate the variances for direct labor:
- The rate variance is calculated as the actual hours worked multiplied by the difference between the actual rate and the standard rate.
Rate variance = (130 hours x ($12.00/hour - $14.00/hour))= $
260 U - The efficiency variance is calculated as the difference between the actual hours worked and the standard hours allowed, multiplied by the standard rate.
Efficiency variance = (130 hours - 0.50 hours x 3,400 units) x $14.00/hour = $
3,646 F
The decision to continue with the new labor mix should be based on an evaluation of the cost savings achieved compared to the impact on product quality and customer satisfaction.
To calculate the variances for variable overhead:
- The rate variance is calculated as the actual hours worked multiplied by the difference between the actual rate and the standard rate.
Rate variance = $
4,700 - (0.50 hours x $3.40/hour) = $
4,700 - $1.70 = $
4,698.30 UF - The efficiency variance is calculated as the difference between the actual hours worked and the standard hours allowed, multiplied by the standard rate.
Efficiency variance = (0.50 hours x 3,400 units) x $3.40/hour = $
5,780 UF