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 $60,885, all of which were used in the production of 3,500 units of product. In addition, 5,000 hours of direct labor time were worked on the product during the month. The cost of this labor time was $42,500. The following variances have been computed for the month: |
Materials quantity variance | $ | 2,850 | U |
Labor spending variance | $ | 3,300 | U |
Labor efficiency variance | $ | 800 | U |
Required: |
1. | For direct materials: |
a. |
Compute the actual cost per foot for materials for March. (Round your answer to 2 decimal places.) |
b. |
Compute the price variance and the spending variance. (Do not round intermediate calculations. Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance)) |
2. |
For direct labor: (Do not round intermediate calculations.) |
a. |
Compute the standard direct labor rate per hour. (Round your final answer to 2 decimal places.) |
b. |
Compute the standard hours allowed for the month’s production. |
c. |
Compute the standard hours allowed per unit of product. (Round your answer to 1 decimal place.) |
Solution 1a:
Material quantity variance = $2,850 U
(SQ - AQ)*SP = -$2,850
(3500*3 - AQ) * $5 = - $2,850
Actual quantity = 11070 Foot
Actual cost of purchase = $60,885
actual cost per foot = $60,885 / 11070 = $5.50 per foot
Solution 1b:
Material price variance = (SP - AP) * AQ = ($5 - $5.50) * 11070 = $5,535 U
Material spending variance = MPV + MUV = $2,850 U + $5,535 U = $8,385 U
Solution 2a:
Actual rate of labor per hour = $42,500 / 5000 = $8.50 per hour
Labor rate variance = Labor spending variance - Labor efficiency variance = $3,300 U - $800 U = $2,500 U
(SR - AR) * AH = - $2,500
(SR - $8.50) * 5000 = - $2,500
SR = $8 per hour
Solution 2b:
Labor efficiency variance = (SH - AH) * SR = (SH - 5000) * $8 = - $800
Standard hours = 4900 hours
solution 2c:
Standard hours allowed per unit = 4900 / 3500 = 1.40 hour per unit.
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