3. Marginal Costing and Cost-Volume-Profit (CVP) Analysis

 

3.1 Marginal Costing

  • Definition: Marginal costing is an accounting approach where only variable costs are considered in product costing and decision-making.
  • Importance: Helps in making short-term decisions as fixed costs are not included in cost per unit calculations.

3.2 Contribution Margin

  • Formula: Contribution Margin = Sales - Variable Cost
  • Significance: It measures the amount available to cover fixed costs and contribute to profit.

3.3 Break-even Analysis

  • Break-even Point: The level of sales at which total revenue equals total costs, resulting in zero profit.
  • Formula
    Break-even Point=Fixed CostsContribution Margin per Unit\text{Break-even Point} = \frac{\text{Fixed Costs}}{\text{Contribution Margin per Unit}}
  • Solved Example:
    • Problem: A company’s fixed costs are $50,000, the selling price per unit is $20, and the variable cost per unit is $12. Find the break-even point in units.
    • Solution: Contribution Margin per Unit = $20 - $12 = $8
      • Break-even Point = $50,000 / $8 = 6,250 units.

3.4 Cost-Volume-Profit Analysis

  • Key Concepts:
    • Contribution Margin Ratio: (Contribution Margin / Sales) * 100
    • Margin of Safety: The excess of actual sales over the break-even sales.
    • Profit Volume Ratio: Contribution Margin / Sales
  • Solved Example:
    • Problem: If sales are $200,000 and variable costs are $120,000, calculate the contribution margin ratio.
    • Solution: Contribution Margin = $200,000 - $120,000 = $80,000
      • Contribution Margin Ratio = ($80,000 / $200,000) * 100 = 40%

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