Answer:
Standard quantity = Actual units produced × 0.50 pound per unit
= 54,120 × 0.50
= 27,060 pounds
Standard hours = Actual units produced × 1/6 hour per unit
= 54,120 × 1/6
= 9,020 hours
Actual rate per hour = $186, 660 ÷ 9,150 hours
= $20.4
(a) (i) Direct material price variance:
= (AQ × AP) - (AQ × SP)
= (30,000 × $5.15) - (30,000 × $5.10)
= $154,500 - $153,000
= $1,500 Unfavorable
(ii) Direct material quantity variance:
= (AQ × SP) - (SQ × SP)
= (30,000 × $5.10) - (27,060 × $5.10)
= $153,000 - $138,006
= $14,994 Unfavorable
(b) (i) Direct labor rate variances:
= (AH × AR) - (AH × SR)
= (9,150 × $20.4) - (9,150 × $21.40)
= $186,660 - $195,810
= $9,150 Favorable
(ii) Direct labor efficiency variances:
= (AH × SR) - (SH × SR)
= (9,150 × $21.40) - (9,020 × $21.40)
= $195,810 - $193,028
= $2,782 Unfavorable