In: Accounting
Problem 9-25 Direct Materials and Direct Labor Variances; Computations from Incomplete Data [LO9-4, LO9-5]
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 | $ | 5 | per foot | $ | 15 | |
Direct labor | ? | hours | ? | per hour | ? | |||
During March, the company purchased direct materials at a cost of $43,335, all of which were used in the production of 2,425 units of product. In addition, 4,000 direct labor-hours were worked on the product during the month. The cost of this labor time was $28,000. The following variances have been computed for the month:
Materials quantity variance | $ | 3,750 | U |
Labor spending variance | $ | 2,780 |
U |
Labor efficiency variance | $ | 780 |
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.
Req 1a) | Let the actual quanity be x | ||||||||
Material Quantity Variance = (Standard quantity - Actual Quantity ) Standard Price | |||||||||
-3750 = ((2425*3) - x )*5 | |||||||||
By solving above we get, | |||||||||
x=8025 | |||||||||
Actual quanity = 8025 feet | |||||||||
Cost per fee= Actual cost / actual quanity | |||||||||
=43335/8025 | |||||||||
5.40 | |||||||||
Req 1 b) | Material Price Variance = (Standard Price - Actual Price ) Actual Quantity | ||||||||
=(5-5.4 ) * 8025 | |||||||||
3,210 | U | ||||||||
Material spending Variance = Material price variance + quanity variance | |||||||||
= -3750 + (-3210) | |||||||||
= 6960 | U | ||||||||
Req. 2A | Let the standard labor rate be "x" | ||||||||
Labour Rate Variance = (Standard Rate - Actual Rate) Actual Hrs Worked | |||||||||
-2780 = (x-(28000/4000))* 4000 | |||||||||
x=6.305 | |||||||||
Req 2b | Standard Hours allowed for the months Production; let the standard hours be "x" | ||||||||
Labour Efficiency Variance = (Standard Hrs. - Actual Hrs) Standard Rate | |||||||||
Putting values in above formula we get | |||||||||
-780 = (x-4000)*6.305 | |||||||||
-780 = 6.305x - 25220 | |||||||||
6.305x = 24440 | |||||||||
x = 3876 | |||||||||
Req 2c | Standard hours allowed per unit = Total standard hours / No. of units produced | ||||||||
= 3876/2425 | |||||||||
1.60 | |||||||||