Math Problem Statement
Grover Company has the following data for the production and sale of 2,000 units.
Sales price per unit
$ 800
per unit
Fixed costs:
Marketing and administrative
$ 400,000
per period
Manufacturing overhead
$ 200,000
per period
Variable costs:
Marketing and administrative
$ 50
per unit
Manufacturing overhead
$ 80
per unit
Direct labor
$ 100
per unit
Direct Materials
$ 200
per unit
What is the contribution margin per unit using variable costing?
Solution
The contribution margin per unit is calculated using variable costing by subtracting the variable costs per unit from the sales price per unit.
Step 1: Breakdown of variable costs per unit
- Variable marketing and administrative costs: $50 per unit
- Variable manufacturing overhead: $80 per unit
- Direct labor: $100 per unit
- Direct materials: $200 per unit
Total variable costs per unit:
Step 2: Contribution margin per unit formula
Final Answer:
The contribution margin per unit is $370.
Would you like further details or explanations?
Related Questions:
- What is the total contribution margin for all 2,000 units?
- How do fixed costs affect the break-even analysis in this case?
- What is the break-even sales volume in units?
- What is the impact on contribution margin if direct material costs increase by $10 per unit?
- How would a $50 increase in the sales price affect the contribution margin?
Tip:
Understanding the contribution margin is key to evaluating profitability and decision-making, as it highlights how much revenue contributes to covering fixed costs and generating profit.
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Math Problem Analysis
Mathematical Concepts
Cost Accounting
Variable Costing
Contribution Margin Calculation
Formulas
Contribution margin per unit = Sales price per unit - Total variable costs per unit
Theorems
-
Suitable Grade Level
Grades 11-12
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