Appendix M3.1: Derivation of the Break-Even Point

  1. Total cost = Fixed cost + (Variable cost/unit) × (Number of units)

  2. Total revenue = (Price/unit)(Number of units)

  3. At break-even point, Total cost = Total revenue

  4. Or Fixed cost + (Number of units) = (Price/unit)(Number of units)

  5. Solving for the number of units at the break-even point, we get

    Break-even point (units)=Fixed costPrice/unitVariable cost/unit

    This equation is the same as Equation M3-1.

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