Cost-Volume-Profit Analysis (Copy)

2.2.4 Cost-Volume-Profit (CVP) Analysis – Cheat Sheet

1. Key Concepts

1. Contribution Margin:
   • The amount each unit contributes to covering fixed costs and generating profit.
   • Formula:

     Contribution per Unit = Sales Price per Unit - Variable Cost per Unit
     

   • Example:
     • Sales Price per Unit = $50
     • Variable Cost per Unit = $30
     • Contribution per Unit = 50 – 30 = 20
2. Total Contribution:
   • The total amount contributed from all units sold.
   • Formula:

     Total Contribution = Contribution per Unit * Number of Units Sold
     

   • Example:
     • Contribution per Unit = $20
     • Units Sold = 1,000
     • Total Contribution = 20 * 1,000 = 20,000

2. Break-even Analysis

1. Break-even Point (Units):
   • The level of output at which total revenues equal total costs (no profit, no loss).
   • Formula:

     Break-even Point (Units) = Fixed Costs / Contribution per Unit
     

   • Example:
     • Fixed Costs = $50,000
     • Contribution per Unit = $20
     • Break-even Point = 50,000 / 20 = 2,500 units
2. Contribution to Sales Ratio:
   • The proportion of sales revenue that contributes to covering fixed costs and generating profit.
   • Formula:

     Contribution to Sales Ratio = Contribution per Unit / Sales Price per Unit
     

   • Example:
     • Contribution per Unit = $20
     • Sales Price per Unit = $50
     • Contribution to Sales Ratio = 20 / 50 = 0.4 or 40%
3. Level of Output or Sales to Achieve Target Profit:
   • The number of units that must be sold to achieve a specific target profit.
   • Formula:

     Required Sales (Units) = (Fixed Costs + Target Profit) / Contribution per Unit
     

   • Example:
     • Fixed Costs = $50,000
     • Target Profit = $20,000
     • Contribution per Unit = $20
     • Required Sales = (50,000 + 20,000) / 20 = 70,000 / 20 = 3,500 units
4. Margin of Safety:
   • The difference between actual sales and break-even sales, indicating the cushion before losses begin.
   • Formula:

     Margin of Safety = Actual Sales - Break-even Sales
     

   • Example:
     • Actual Sales = 5,000 units
     • Break-even Sales = 2,500 units
     • Margin of Safety = 5,000 – 2,500 = 2,500 units

3. Costing and Profit Statements Using Marginal Costing

1. Costing Statement:
   • Formula:

     Total Cost = Variable Costs + Fixed Costs
     

2. Profit Statement:
   • Formula:

     Profit = Total Contribution - Fixed Costs
     

   • Example:
     • Total Contribution = $50,000
     • Fixed Costs = $30,000
     • Profit = 50,000 – 30,000 = 20,000

4. Reconciliation of Profits (Marginal Costing vs Absorption Costing)

• The difference in profit occurs because fixed costs are treated differently in marginal costing (as period costs) and absorption costing (as product costs).

Formula to Reconcile Profits:

Difference in Profit = (Absorbed Fixed Overheads - Actual Fixed Overheads) * Units Produced

• Example:
  • Absorbed Fixed Overhead = $5 per unit
  • Actual Fixed Overhead = $4 per unit
  • Units Produced = 1,000 units
  • Difference in Profit = (5 – 4) * 1,000 = 1,000

5. Uses of Marginal Costing

1. Short-term Decision Making:
   • Marginal costing is ideal for decisions like pricing, make-or-buy, and special orders.
2. Break-even Analysis:
   • Helps determine the level of sales needed to cover all costs and achieve a target profit.
3. Profitability Analysis:
   • Contribution margin shows the amount available to cover fixed costs and generate profits.

6. Limitations of Marginal Costing

1. Fixed Costs Exclusion:
   • Fixed costs are ignored in product costing, which may lead to underpricing in some cases.
2. Not Suitable for Long-term Decisions:
   • More appropriate for short-term decisions like pricing for special orders and does not account for fixed costs over the long term.
3. Simplification of Complex Costing:
   • Oversimplifies cost structures by excluding fixed costs from the cost of products, especially in complex organizations with mixed costs.

7. Non-Financial Factors in Marginal Costing

• Quality Control: Ensuring that cost reductions do not compromise product quality.
• Customer Satisfaction: Pricing decisions should ensure that customer needs and expectations are met.
• Employee Morale: Cost-cutting measures affecting employee welfare can impact morale and productivity.
• Market Conditions: Economic conditions, competition, and market demand should be considered alongside financial data when making decisions.

Summary

• Marginal Costing: Focuses on variable costs and treats fixed costs as period costs, ideal for short-term decision-making.
• Break-even Analysis: Calculates the break-even point, contribution margin, and target profit.
• Profit Statements: Help determine profitability based on contribution and fixed costs.
• Limitations: Marginal costing excludes fixed costs in product costing, which may lead to mispricing and is less suitable for long-term decisions.