Using Break-even (AQA GCSE Business)
Revision Note
The Structure of Break-even Charts
A break even chart is a visual representation of the break even point and is used to identify the following:
Fixed costs, total costs and revenue over a range of output
The break even point - where total costs are equal to revenue
Profit or loss made at each level of output
The margin of safety
Diagram: A break-even chart
An example break-even chart shows that at 324 units, total revenue is equal to total costs
Diagram analysis
Fixed costs do not change as output increases
Fixed costs are £8,000 and these do not change whether the business produces 0 units or 500 units
The red line plots fixed costs
Total costs are made up of fixed and variable costs
At 0 units of output, they are made up exclusively of fixed costs
At 500 units, the total variable costs equate to £11,800
This green line slopes upwards because total costs costs increase as output increases
The revenue line also slopes upwards
At 0 units of output, the revenue is £0
At 500 units the total revenue equates to £11,800
Revenue will increase with the output
The blue line slopes more steeply than the total costs and will cross the total costs line at some point
The point at which the total costs (green) line and the revenue (blue) line cross is the break-even point
The break even level of output is therefore 324 units
At this point, neither a profit nor a loss is made
If output is greater than the break-even point, a profit will be made
If output is less than the break even point, a loss will be made
The break even chart also identifies the margin of safety if output is greater than the break even point
It is the difference on the x-axis between the actual level of output and the break-even level
The margin of safety is calculated using the formula:
In this instance, the margin of safety is therefore
The profit made at a specific level of output can be identified as the space between the revenue and total costs lines
Profit is calculated using the formula
In this instance, the profit made at 450 units of output is therefore:
Worked Example
Here is the weekly break-even diagram for the Yorkshire Rare Breed Sausage Company. Output is shown as the volume of packs of sausages produced.
The owner expects to produce 4,000 packs of sausages next week.
Use the break-even diagram to calculate:
a. The margin of safety if 4,000 packs of sausages are produced
b. The profit achieved if 4,000 packs of sausages are produced
[2 marks]
Step 1: Identify the break-even point
The point at which the total costs line and the revenue costs line cross is 2,500 packs.
Step 2: Subtract the break-even point from the actual output level
[1]
Step 3: Identify revenue at 4,000 units of output
Revenue at 4,000 units of output is £40,000
Step 4: Identify total costs at 4,000 units of output
Total costs at 4,000 units of output is £34,000
Step 5: Calculate profit at 4,000 units of output
[1]
Examiner Tip
Make sure that you can identify each of the key elements on a break-even chart. You may be asked to label these elements in the exam.
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