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Breakeven Diagrams Explained

May 22, 2024

Break-Even Diagrams Overview

Introduction

  • Breakeven diagrams can be challenging for many business students.
  • This guide explains the information displayed and how to interpret it.

Axes

X-Axis

  • Displays possible levels of output (units produced over time)
  • Ranges from 0 units to maximum capacity (e.g., 5000 units)
  • Common markers: 0, 1000, 2000, 3000, 4000, 5000 units

Y-Axis

  • Displays costs and sales revenue at different output levels
  • Shows costs at 0 to 5000 units
  • Illustrates potential sales revenue

Key Lines on the Diagram

Fixed Costs (FC)

  • Horizontal line because fixed costs do not change with output level
  • Example: Fixed costs at 10,000 pounds (e.g., rent, insurance, salaries)
  • Fixed costs are always 10,000 pounds whether 0 or 5000 units are produced

Total Costs (TC)

  • Starts from fixed cost line and goes up diagonally
  • Accounts for both fixed and variable costs
    • Variable costs: raw materials, transport, wages
    • Variable costs increase with higher output
  • Total costs at 5000 units > total costs at 1000 units

Sales Revenue (SR)

  • Starts from origin (0,0)
  • Diagonal line indicating increased revenue with higher output
  • Sales revenue = output level x selling price

Interpreting the Diagram

Break-Even Point (BEP)

  • Intersection of total cost line and sales revenue line
  • Indicates level of output where total costs = sales revenue
  • Example: BEP at 2000 units

Margin of Safety

  • Difference between actual sales and break-even sales
  • Example: Producing 3000 units when BEP is 2000 units
  • Margin of safety = 1000 units

Profit and Loss

  • To right of BEP: profit (difference between sales revenue and total costs)
  • To left of BEP: loss (difference between total costs and sales revenue)
  • Example: Profit/loss at different levels of output can be determined by comparing SR and TC

Conclusion

  • Breakeven diagrams illustrate margin of safety, profit, loss, and break-even levels of output.
  • Common examination concept; important to master.
  • For questions, comments, or further clarification, engage with the tutorial’s comment section.
  • Best of luck with your revision and exams!