Math Problem Statement
Materials Variances
Cinturon Corporation produces high-quality leather belts. The company's plant in Boise uses a standard costing system and has set the following standards for materials and labor:
Line Item Description Cost Leather (3 strips @ $6) $18.00 Direct labor (0.75 hr. @ $16) 12.00 Total prime cost $30.00 During the first month of the year, the Boise plant produced 92,000 belts. Actual leather purchased was 291,500 strips at $4.20 per strip. There were no beginning or ending inventories of leather. Actual direct labor was 78,400 hours at $16.50 per hour.
Required:
- Break down the total variance for materials into a price variance and a usage variance using the columnar and formula approaches.
Solution
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Math Problem Analysis
Mathematical Concepts
Variance Analysis
Standard Costing
Formulas
Price Variance = (Actual Price - Standard Price) * Actual Quantity
Usage Variance = (Actual Quantity - Standard Quantity Allowed) * Standard Price
Total Material Variance = Price Variance + Usage Variance
Theorems
-
Suitable Grade Level
Advanced
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