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Using the data in Extract B, calculate the margin of safety - Edexcel - A-Level Business - Question 1 - 2018 - Paper 2

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Using the data in Extract B, calculate the margin of safety. You are advised to show your working.

Worked Solution & Example Answer:Using the data in Extract B, calculate the margin of safety - Edexcel - A-Level Business - Question 1 - 2018 - Paper 2

Step 1

Understand the Margin of Safety

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Answer

The margin of safety measures the difference between the actual output and the break-even output. It indicates how far sales can drop before a business starts incurring losses.

Step 2

Calculate the Contribution per Unit

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Answer

The contribution per unit is calculated as follows:

Contribution per unit = Selling price per unit - Variable cost per unit

Substituting in the values from Extract B:

Contribution per unit = £5 - £2 = £3

Step 3

Calculate the Break-even Output

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Answer

The break-even output can be calculated using the formula:

Break-even output = Total fixed costs / Contribution per unit

Substituting in the values:

Break-even output = £3,000,000 / £3 = 1,000,000 units

Step 4

Calculate the Margin of Safety

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Answer

Now, to find the margin of safety:

Margin of safety = Actual output - Break-even output

Given actual output from Extract B is 1.5 million units:

Margin of safety = 1,500,000 units - 1,000,000 units = 500,000 units

Thus, the margin of safety is 500,000 units, or 0.5 million units.

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