Final answer:
The standard cost for direct materials and labor per unit of dartboard is $12.60 and $5.40, respectively, for a total of $18.00. Variance calculations produce different results for material price, quantity, and labor rate and efficiency, indicating areas where Orion Corporation's actual costs diverged from the standard benchmarks.
Step-by-step explanation:
The standard cost for direct material can be calculated by multiplying the standard quantity of direct material needed (9.00 pounds) by the standard price per pound (1.40), which is $12.60 per unit. The standard cost for direct labor is found by multiplying the standard quantity for direct labor (0.60 hour) by the standard rate per hour (9.00), resulting in $5.40 per unit. Adding these two gives the total standard cost for one unit of dartboard, which is $18.00.
We can then calculate the following variances for June:
- Direct-material price variance is the difference between the actual price paid and the standard price, multiplied by the actual quantity purchased. This is (1.54 - 1.40) * 311,000 pounds = $43,540 unfavorable.
- Direct-material quantity variance is the difference between the actual quantity used and the standard quantity allowed for actual production, multiplied by the standard price per pound. This is (277,200 - (33,000 * 9)) * 1.40 = $9,240 unfavorable.
- Direct-material purchase price variance is the difference between the actual cost to purchase materials and the standard cost, which is already calculated in the direct-material price variance.
- Direct-labor rate variance is the difference between the actual hourly rate paid and the standard rate, multiplied by the actual labor hours used. This is (205,920 * 90% / 21,450 hours - 9) * 21,450 hours = $12,285 unfavorable.
- Direct-labor efficiency variance is the difference between the actual hours used and standard hours for actual production (33,000 dartboards * 0.60 hours), multiplied by the standard rate per hour. This is (21,450 - (33,000 * 0.60)) * 9 = $25,110 favorable.