Shasta Fixture Company manufactures faucets in a small manufacturing facility. The faucets are made from brass. Manufacturing has 70 employees. Each employee presently provides 38 hours of labor per week. Information about a production week is as follows:
Standard wage per hour $20
Standard labor time per faucet 30 min
Standard number of lbs. of brass 2.5lbs
Standard price per lb. of brass $1.80
Actual price per lb. of brass $1.95
Actual lbs of brass used during the week 13,000 lbs
Number of faucets produced during the week 5,000
Actual wage per hr. $18.75
Actual hrs for the week (70 employees x 38 hours) 2,660

Determine the standard cost per unit for direct materials and labor; the direct materials price variance, direct materials quantity variance, and total direct materials cost variance; and the direct labor rate variance, direct labor time variance, and total direct laboir cost variance.

Material Price Variance= $ 2850 Unfavorable

Material Quantity Variance=$ 900 unfav

Total direct materials variance $ 3750

Direct Labor Rate  variance= $ 3325 fav

Direct labor time variance= 3200 Unfavorable

Total Direct Labor Cost Variance= 125 fav

Explanation:

Standard wage per hour $20

Standard labor time per faucet 30 min  = 0.5 *5000= 2500 Hrs

Standard number of lbs. of brass 2.5lbs

Standard price per lb. of brass $1.80

Actual price per lb. of brass $1.95

Actual lbs of brass used during the week 13,000 lbs

Number of faucets produced during the week 5,000

Actual wage per hr. $18.75

Actual hrs for the week (70 employees x 38 hours) 2,660

Material Price Variance= (Actual Price * Actual Quantity)- (Standard Price * Actual Quantity)

Material Price Variance= ($ 1.95 *13000)-($1.8 *5000*2.5)= ($ 1.95 *13000)-($1.8 *12500)= $ 25350 - $  22500= $ 2850

Material Price Variance= $ 2850 Unfavorable

Material Quantity Variance= (Standard Price * Actual Quantity)-(Standard Price * Standard Quantity)

Material Quantity Variance=($1.8 *13000)-($1.8 *12500)= 23400- 22500

Material Quantity Variance=$ 900 Unfav

Total direct materials variance =Material Price Variance + Material Quantity Variance= 2850 + 900 = $ 3750 Unfav

Direct Labor Rate  variance= (actual hours* actual rate)- (actual hours * standard rate)

Direct Labor Rate  variance=( 2660 *18.75)  - (2660*20)= 49875- 53200

Direct Labor Rate  variance= $ 3325 fav

Direct labor time variance= (actual hours* standard rate)- (standard hours * standard rate)

Direct labor time variance= (2660 *20) -(0.5 * 5000*20)

Direct labor time variance= 53200-50,000

Direct labor time variance= 3200 Unfavorable

Total Direct Labor Cost Variance= Direct Labor Rate  variance + Direct labor time variance= 3325 fav- 3200 unfav= 125 fav

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