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

  1. Variable marketing and administrative costs: $50 per unit
  2. Variable manufacturing overhead: $80 per unit
  3. Direct labor: $100 per unit
  4. Direct materials: $200 per unit

Total variable costs per unit: 50+80+100+200=430per unit50 + 80 + 100 + 200 = 430 \, \text{per unit}

Step 2: Contribution margin per unit formula

Contribution margin per unit=Sales price per unitTotal variable costs per unit\text{Contribution margin per unit} = \text{Sales price per unit} - \text{Total variable costs per unit} Contribution margin per unit=800430=370\text{Contribution margin per unit} = 800 - 430 = 370

Final Answer:

The contribution margin per unit is $370.


Would you like further details or explanations?

Related Questions:

  1. What is the total contribution margin for all 2,000 units?
  2. How do fixed costs affect the break-even analysis in this case?
  3. What is the break-even sales volume in units?
  4. What is the impact on contribution margin if direct material costs increase by $10 per unit?
  5. 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

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Suitable Grade Level

Grades 11-12