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16: Costs, scale of production and break-even analysis




                                               Simple break-even charts


                 KEY TERM                      Break-even describes a situation where a business is not making a profit or a loss
                                               from the production and sale of its products. In other words, the revenue a business
                 Break-even:  the level of output
                                               earns from selling its output exactly equals the total costs of producing the output.
                 where revenue equals total costs;   If the revenue a business earns from selling its output is greater than the total costs
                 the business is making neither

                                               of producing it, then the business earns profit. However, if the revenue earned is
                 profit nor loss.

                                               less than the total costs then the business will make a loss. These three situations
                                               are shown in Figure 16.5.





















                                                                 Break‐even      Profit        Loss
                                                                           Revenue  Total Costs                            223
                                                              Figure 16.5 Break-even, profit and loss

                                               The concept of break-even
                                               Break-even analysis is a business technique that shows the relationship between
                                               revenue, costs and volume of output/sales. A business might use break-even
                                               analysis to:

                                               ■  calculate how many units it needs to sell before it starts to make a profit

                                               ■  calculate the effect on profit of increasing or decreasing the price of a product

                                               ■  calculate the effect on profits of an increase or decrease in business costs.
                                               Simple break-even charts

                                               The purpose of a break-even chart is to show the relationship between a business’s

                                               revenue and costs at different levels of output. The chart can be used to work

                                               out the level of output that must be produced and sold to earn revenue which
                                               exactly equals the total costs of producing that level of output. This is known as

                                               the break-even output.
                                                  To produce a break-even chart, a business needs to know its:
                                               ■  revenue at zero output and at its maximum output (capacity)
                                               ■  total costs at zero output and at capacity output
                                               ■  fixed costs at zero output and at capacity output.

                                               The revenue and cost information at these two output levels is then used to produce
                                               a break-even chart similar to that shown in Figure 16.6.
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