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Financial Management

Break-even, contribution and the margin of safety

  • 11 things to know
  • Papers 1, 2 and 3

Overview

Calculating break-even output, contribution per unit, total contribution and the margin of safety.

What you need to know

Answer each one before you reveal it.

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What is break-even output, how is it calculated, and what happens to it if contribution per unit rises?

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What values are needed for break-even output, and how is contribution per unit found?

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What does contribution per unit represent, and how is total contribution calculated?

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What is the margin of safety, why is it useful, and how is it shown on a break-even chart?

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How is the margin of safety calculated, and what does a price cut do to the revenue line?

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What does finding break-even output involve, how is financial data used in planning, and what is contribution per unit?

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How are total contribution, the margin of safety and gross profit margin worked out?

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State the formula for calculating break-even output.

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State the formula for contribution per unit.

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State the formula for total contribution.

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State the formula for margin of safety.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a break-even chart?

    Model answer

    A graphical representation showing total costs and total revenue at different levels of output, with the break-even point where the two lines intersect.

  2. 2

    Define break-even output.

    Model answer

    The level of sales at which total revenue equals total costs, resulting in neither profit nor loss.

  3. 3

    State the formula for calculating break-even output.

    Model answer

    Break-even output = Fixed costs ÷ Contribution per unit.

  4. 4

    What two values are needed to calculate break-even output?

    Model answer

    Fixed costs and contribution per unit.

  5. 5

    Calculate the break-even output when fixed costs = £68,500, contribution per unit = £43.

    Model answer

    Break-even output = 68500 ÷ 43 = 1,594 units.

  6. 6

    State the formula for contribution per unit.

    Model answer

    Contribution per unit = Selling price per unit − Variable cost per unit.

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