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GCSE
Business Studies
For first teaching from September 2009
For first award in Summer 2011
Breakeven Analysis
              Learning Outcomes
                                                                          Breakeven analysis
                                                                    Breakeven analysis is a technique used by businesses such
                                                                    as Zoom Airlines to estimate the minimum output they
At the end of this unit students should be                          need to produce and sell in order to survive in the industry.
able to:                                                            To conduct a breakeven analysis, firms need to compare
                                                                    their sales revenue with their total costs over a range of
•	     Calculate the margin of safety.
                                                                    output and calculate the break even point.
•	     Explain the term breakeven point;
•	     Distinguish between fixed and variable costs;                The breakeven point for a company such as Zoom airlines is
•	     Calculate the breakeven point both graphically and 	         the point at which it sells exactly the right number of seats
	      by formula;                                                  and other products so that its sales revenue is exactly equal
•	     Sketch and label a breakeven chart; and                      to its total cost. At the breakeven point the firm makes
                                                                    neither a profit nor a loss.

                                                                    Businesses use breakeven analysis to:
              Setting the Scene
                                                                    •	   Calculate how many goods they need to sell to make an
                                                                         acceptable profit.

Zoom Airlines suspend all flights                                   •	   Calculate the level of costs that can be borne by the
                                                                         company – Zoom airlines calculated that they could not
Transatlantic budget carrier Zoom Airlines has suspended all
                                                                         survive if fuel went above $140 per barrel.
flights and is applying to go into administration. Thousands of
passengers due to fly with Zoom have been told to rebook with       •	   Calculate how much they need to charge for their
other carriers, and to contact credit or debit card issuers about        goods.
refunds.
                                                                    •	   Calculate how changes in price affect their profits and
                                                                         break even point.
UK-Canadian Zoom blamed its problems on the “horrendous”
price of jet fuel - which had added over £27m to annual fuel
bills - and the economic slowdown.
                                                                    Calculating the breakeven point
The rising cost of oil - which topped $147 a barrel in July - has
                                                                    To conduct a breakeven analysis and calculate the
led to aviation fuel bills soaring.
                                                                    breakeven point a firm must first consider its total revenue,
                                                                    its fixed costs, its variable costs and its total costs.
“They had based their business model on oil prices of
about $70 or $80,” said Simon Calder, travel editor of The          Total Revenue (TR) is the income the firm receives from
Independent. “Once it topped $140 they simply could not             selling its products. It is calculated by multiplying the price
survive as they were no longer able to breakeven.”                  of the product by the quantity sold. For example if Zoom
                                                                    Airlines sold 1000 seats at £50 each, then its total revenue
Zoom, which began flying in 2001, employed 450 staff in             is £50,000. On a graph the total revenue curve would slope
Canada and 260 staff in the UK. It operated flights from            upwards from left to right and would start at the origin.
London Gatwick, Glasgow, Manchester, Cardiff and Belfast, as
well as Paris and Rome.                                             Fixed Costs (FC) are those business costs that are not
                                                                    directly related to the level of production or output. They
                                                                    are called fixed since they do change as output levels
                                                                    change. Business rent and rates are examples of fixed costs
                                                                    since they will have to be paid whether the firm produces
                                                                    nothing or produces at full capacity. On a graph the fixed
                                                                    cost curve would be a horizontal line which would start
                                                                    above the origin.
Variable Costs (VC) are costs which vary directly with the               Breakeven chart
  level of output. If output is zero then variable costs are zero
                                                                           One way to calculate the breakeven point is to draw a
  but as output increases so to do variable costs. An example
                                                                           breakeven chart. On a breakeven chart the firm will plot its
  of a variable cost for Zoom Airlines would be its fuel costs.
                                                                           total revenue, total cost and fixed cost curves.
  The more seats it sells the more fuel is needed to fly the
  plane. Other examples of variable costs include workers                  The diagram below shows a breakeven chart for a typical
  wages and electricity charges. On a graph the variable cost              firm. The vertical axis shows the total revenue received from
  curve is drawn as a straight line sloping upwards from the               selling each level of output and the total cost of producing
  origin.                                                                  each level of output. The horizontal axis shows the quantity
                                                                           of output sold.
  Total Cost (TC) is calculated by adding the fixed costs and
  the variable costs of the business together. On a graph the          TR/TC
  total cost curve is a diagonal line which has the same slope
  as the variable cost curve, but which starts at the level of
                                                                                                                                     Total
  fixed cost and not at the origin. This is because even at zero                                                                     Revenue
                                                                      40
  output the firm has to pay its fixed costs therefore its total
  costs will never fall below its fixed costs.                                               Breakeven Point            Profit          Total
                                                                                                                                        Cost
  The following illustrates how these three cost curves are
  shown on a graph.                                                   20
                                                                                                                                        Fixed
                                                           Total                                                                        Costs
Total Revenue                                              Cost               Loss
& Total Costs                                                                                              Margin of Safety
                                                           Variable                                                                      Units
                                                           Costs                                      3                          6       Sold (#)
40
                                                                           We can see from the diagram above that the breakeven
                                                                           point (the point where TR =TC) occurs when the firm sells 3
                                                                           units.

20                                                                         If actual sales are below this breakeven point then the
                                                           Fixed           firm will be making a loss. If actual sales are above this
                                                           Costs
                                                                           breakeven point then the firm will be making a profit.
                                                           Units           The actual amount of any profit or loss is shown by the
                             3                             Sold (#)
                                                       6                   vertical distance between the total cost and total revenue
                                                                           curves.
                Activity: Fixed & Variable 		
                	         Costs                                            Margin of safety
  In the table below indicate which costs are fixed and which              The margin of safety is the difference between the current
  are variable by placing a tick in the appropriate box.                   level of output and the breakeven level of output. It
                                                                           represents the number of units that output can fall by
     Cost	                        Fixed	          Variable                 before the business makes a loss. In the diagram above if
                                                                           the actual level of output is 6 units then the margin of safety
     Mortgage	                    	                                        is 3 units of output.
     Rates	                       	                                        Calculating the breakeven point by formula
     Telephone	                   	                                        Another way to calculate the breakeven point is to use the
                                                                           following formula	 	
     Raw materials	               	
                                                                           		                     Total fixed costs
     Electricity	                 	
                                                                           Breakeven point =		
     Managers’ salaries	          	                                              Contribution Selling price – variable cost per unit

     Workers wages	               	                                        For example, let’s assume a producer is selling shoes at £30
                                                                           per pair. He has total fixed costs of £20,000 and his variable
     Interest payments on loans	 	
                                                                           costs per pair of shoes of £5. To calculate the breakeven
     Advertising	                                                          point we put this information into the above formula.
£20,000
Breakeven point =
	                 £25 (£30 - £5)                                                Key Terms
We find that the breakeven point 800 pairs of shoes.
                                                                   •	    The breakeven point is the point at which sales
                                                                         revenue is exactly equal to total cost. At the
              Activity: Pete’s Pizza Slices                              breakeven point the firm makes neither a profit nor a
                                                                         loss.

Peter Smith has just opened his pizza slice shop in Belfast.       •	    Total Revenue is the income the firm receives from
He wants to calculate how many pizzas he will have to sell               selling its products. It is calculated by multiplying the
each month in order to breakeven. He has calculated his                  price of the product by the quantity sold.
monthly fixed costs to be £2,000 and his variable costs to
                                                                   •	    Fixed Costs are those business costs that are not
be £0.20 per pizza slice. Pete sells his pizza slices for £1 per
                                                                         directly related to the level of production or output.
slice.
                                                                         Examples include managers salaries and interest
1.	     Using the information above complete the following               payments on loans.
        table. The first row is done for you.
                                                                   •	    Variable Costs are costs which vary directly with the
 Number 	   Total	   Fixed	 Variable	 Total	 Profit                      level of output. Examples include workers wages and
 of pizza 	 revenue	 costs	 costs	    costs 	 /Loss                      raw material costs.
 slices sold					                             (TR-TC)
                                                                   •	    Total Cost is calculated by adding the fixed costs and
 0	             0	         2000	     0	           2000	   -2000
                                                                         the variable costs of the business together.
 500	           	          	         	            	
                                                                   •	    The margin of safety is the difference between the
 1000	          	          	         	            	                      current level of output and the breakeven level of
 1500	          	          	         	            	                      output.

 2000	          	          	         	            	

 2500	          	          	         	            	
                                                                                 Revision questions
 3000	          	          	         	            	

 3500	          	          	         	            	                1.	   Explain the difference between fixed and variable
                                                                         costs.
2. 	     Use the information in the table above to plot a
                                                                   2.	   Explain what is meant by the breakeven point.
         breakeven chart. On this chart you should clearly
         label:                                                    3.	   Give 3 reasons why a firm would conduct a breakeven
                                                                         analysis.
         •	   The vertical and horizontal axis.
                                                                   4.	   Sketch and label a breakeven chart for a typical
         •	   The TR, TC and FC curves.
                                                                         business.
         •	   The breakeven point.
                                                                   5.	   Explain the difference between a profit and a loss.
         •	   The area of profit and loss.
                                                                   6.	   Explain what is meant by the margin of safety.
3. 	    Calculate the margin of safety if Pete sells 3,500 pizza
        slices each month and put it on the graph.

4. 	     Use the formula given in the notes above to calculate
         how the breakeven point and the margin of safety
         would change if Pete increased his price to £1.20 per
         slice.

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Gcse bus--revised-support-9678

  • 1. GCSE Business Studies For first teaching from September 2009 For first award in Summer 2011
  • 2. Breakeven Analysis Learning Outcomes Breakeven analysis Breakeven analysis is a technique used by businesses such as Zoom Airlines to estimate the minimum output they At the end of this unit students should be need to produce and sell in order to survive in the industry. able to: To conduct a breakeven analysis, firms need to compare their sales revenue with their total costs over a range of • Calculate the margin of safety. output and calculate the break even point. • Explain the term breakeven point; • Distinguish between fixed and variable costs; The breakeven point for a company such as Zoom airlines is • Calculate the breakeven point both graphically and the point at which it sells exactly the right number of seats by formula; and other products so that its sales revenue is exactly equal • Sketch and label a breakeven chart; and to its total cost. At the breakeven point the firm makes neither a profit nor a loss. Businesses use breakeven analysis to: Setting the Scene • Calculate how many goods they need to sell to make an acceptable profit. Zoom Airlines suspend all flights • Calculate the level of costs that can be borne by the company – Zoom airlines calculated that they could not Transatlantic budget carrier Zoom Airlines has suspended all survive if fuel went above $140 per barrel. flights and is applying to go into administration. Thousands of passengers due to fly with Zoom have been told to rebook with • Calculate how much they need to charge for their other carriers, and to contact credit or debit card issuers about goods. refunds. • Calculate how changes in price affect their profits and break even point. UK-Canadian Zoom blamed its problems on the “horrendous” price of jet fuel - which had added over £27m to annual fuel bills - and the economic slowdown. Calculating the breakeven point The rising cost of oil - which topped $147 a barrel in July - has To conduct a breakeven analysis and calculate the led to aviation fuel bills soaring. breakeven point a firm must first consider its total revenue, its fixed costs, its variable costs and its total costs. “They had based their business model on oil prices of about $70 or $80,” said Simon Calder, travel editor of The Total Revenue (TR) is the income the firm receives from Independent. “Once it topped $140 they simply could not selling its products. It is calculated by multiplying the price survive as they were no longer able to breakeven.” of the product by the quantity sold. For example if Zoom Airlines sold 1000 seats at £50 each, then its total revenue Zoom, which began flying in 2001, employed 450 staff in is £50,000. On a graph the total revenue curve would slope Canada and 260 staff in the UK. It operated flights from upwards from left to right and would start at the origin. London Gatwick, Glasgow, Manchester, Cardiff and Belfast, as well as Paris and Rome. Fixed Costs (FC) are those business costs that are not directly related to the level of production or output. They are called fixed since they do change as output levels change. Business rent and rates are examples of fixed costs since they will have to be paid whether the firm produces nothing or produces at full capacity. On a graph the fixed cost curve would be a horizontal line which would start above the origin.
  • 3. Variable Costs (VC) are costs which vary directly with the Breakeven chart level of output. If output is zero then variable costs are zero One way to calculate the breakeven point is to draw a but as output increases so to do variable costs. An example breakeven chart. On a breakeven chart the firm will plot its of a variable cost for Zoom Airlines would be its fuel costs. total revenue, total cost and fixed cost curves. The more seats it sells the more fuel is needed to fly the plane. Other examples of variable costs include workers The diagram below shows a breakeven chart for a typical wages and electricity charges. On a graph the variable cost firm. The vertical axis shows the total revenue received from curve is drawn as a straight line sloping upwards from the selling each level of output and the total cost of producing origin. each level of output. The horizontal axis shows the quantity of output sold. Total Cost (TC) is calculated by adding the fixed costs and the variable costs of the business together. On a graph the TR/TC total cost curve is a diagonal line which has the same slope as the variable cost curve, but which starts at the level of Total fixed cost and not at the origin. This is because even at zero Revenue 40 output the firm has to pay its fixed costs therefore its total costs will never fall below its fixed costs. Breakeven Point Profit Total Cost The following illustrates how these three cost curves are shown on a graph. 20 Fixed Total Costs Total Revenue Cost Loss & Total Costs Margin of Safety Variable Units Costs 3 6 Sold (#) 40 We can see from the diagram above that the breakeven point (the point where TR =TC) occurs when the firm sells 3 units. 20 If actual sales are below this breakeven point then the Fixed firm will be making a loss. If actual sales are above this Costs breakeven point then the firm will be making a profit. Units The actual amount of any profit or loss is shown by the 3 Sold (#) 6 vertical distance between the total cost and total revenue curves. Activity: Fixed & Variable Costs Margin of safety In the table below indicate which costs are fixed and which The margin of safety is the difference between the current are variable by placing a tick in the appropriate box. level of output and the breakeven level of output. It represents the number of units that output can fall by Cost Fixed Variable before the business makes a loss. In the diagram above if the actual level of output is 6 units then the margin of safety Mortgage is 3 units of output. Rates Calculating the breakeven point by formula Telephone Another way to calculate the breakeven point is to use the following formula Raw materials Total fixed costs Electricity Breakeven point = Managers’ salaries Contribution Selling price – variable cost per unit Workers wages For example, let’s assume a producer is selling shoes at £30 per pair. He has total fixed costs of £20,000 and his variable Interest payments on loans costs per pair of shoes of £5. To calculate the breakeven Advertising point we put this information into the above formula.
  • 4. £20,000 Breakeven point = £25 (£30 - £5) Key Terms We find that the breakeven point 800 pairs of shoes. • The breakeven point is the point at which sales revenue is exactly equal to total cost. At the Activity: Pete’s Pizza Slices breakeven point the firm makes neither a profit nor a loss. Peter Smith has just opened his pizza slice shop in Belfast. • Total Revenue is the income the firm receives from He wants to calculate how many pizzas he will have to sell selling its products. It is calculated by multiplying the each month in order to breakeven. He has calculated his price of the product by the quantity sold. monthly fixed costs to be £2,000 and his variable costs to • Fixed Costs are those business costs that are not be £0.20 per pizza slice. Pete sells his pizza slices for £1 per directly related to the level of production or output. slice. Examples include managers salaries and interest 1. Using the information above complete the following payments on loans. table. The first row is done for you. • Variable Costs are costs which vary directly with the Number Total Fixed Variable Total Profit level of output. Examples include workers wages and of pizza revenue costs costs costs /Loss raw material costs. slices sold (TR-TC) • Total Cost is calculated by adding the fixed costs and 0 0 2000 0 2000 -2000 the variable costs of the business together. 500 • The margin of safety is the difference between the 1000 current level of output and the breakeven level of 1500 output. 2000 2500 Revision questions 3000 3500 1. Explain the difference between fixed and variable costs. 2. Use the information in the table above to plot a 2. Explain what is meant by the breakeven point. breakeven chart. On this chart you should clearly label: 3. Give 3 reasons why a firm would conduct a breakeven analysis. • The vertical and horizontal axis. 4. Sketch and label a breakeven chart for a typical • The TR, TC and FC curves. business. • The breakeven point. 5. Explain the difference between a profit and a loss. • The area of profit and loss. 6. Explain what is meant by the margin of safety. 3. Calculate the margin of safety if Pete sells 3,500 pizza slices each month and put it on the graph. 4. Use the formula given in the notes above to calculate how the breakeven point and the margin of safety would change if Pete increased his price to £1.20 per slice.