Sharp Company manufactures a product for which the following standards have been set: Standard Quantity or Hours Standard Price or Rate Standard Cost Direct materials 3 feet $ 11 per foot $ 33 Direct labor ? hours ? per hour ? During March, the company purchased direct materials at a cost of $111,300, all of which were used in the production of 3,200 units of product. In addition, 4,900 direct labor-hours were worked on the product during the month. The cost of this labor time was $95,550. The following variances have been computed for the month: Materials quantity variance $ 4,400 U Labor spending variance $ 450 F Labor efficiency variance $ 2,000 U Required: 1. For direct materials: a. Compute the actual cost per foot of materials for March. b. Compute the price variance and the spending variance. 2. For direct labor: a. Compute the standard direct labor rate per hour. b. Compute the standard hours allowed for the month’s production. c. Compute the standard hours allowed per unit of product.

Direct labor cost = $51450

Direct labor hours 4677.27

Direct labor per hour 1.46

Explanation:

Sharp Company

Given Data

Standard Quantity or Hours Standard Price or Rate Standard Cost

Direct materials 3 feet $ 11 per foot $ 33

Direct labor ? hours ? per hour ?

Materials quantity variance $ 4,400 U

Labor spending variance $ 450 F

Labor efficiency variance $ 2,000 U

1.a.  The Actual Cost per foot of materials for March=$111,300/10000=$ 11.13

Materials quantity variance $ 4,400 U =(Standard Price * Actual Quantity)-(Standard Price * Standard Quantity)

$ 4,400 U = 11* AQ- 11*3 feet*3200

$ 4400= 11* AQ- 105600

$ 4400+ $105600=  11* AQ

AQ =110000/11= 10,000

b. Materials price variance = Actual Price *Actual Quantity - Standard Price * Actual Quantity

Materials price variance =Actual Price *Actual Quantity - Standard Price * Actual Quantity  

Materials price variance =$ 11.13* 10000- 11*10000

Materials price variance=$111,300-110000=1300 Unfavorable

Spending variance= Purchase Price Variance + Materials quantity variance

Spending variance= 1300 Unfavorable + $ 4,400 U= 5700 Unfavorable

2.  Labor spending variance $ 450 F =Labor efficiency variance $ 2,000 U+Direct Labor rate per hour

a. Direct Labor rate per hour =Labor efficiency variance + Labor spending variance =$ 2,000 +$ 450 =$ 2450 Unfav

Direct Labor rate per hour =(actual hours* actual rate)- (actual hours * standard rate)

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

$ 2450 Unfav= 4900*11- standard hours * 11

standard hours *11= 53900- 2450= 51450

b. Standard Hours= 51450/11= 4677.27

c. Standard Hours per unit of product=  4677.27/3200= 1.46

Actual Hours= 4900/3200= 1.53125

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