Introduction to
Break-even Point
A person starting a new business often asks, "At
what level of sales will my company make a profit?"
Established companies that have suffered through some
rough years might have a similar question. Others ask, "At what point will
I be able to draw a fair salary from my company?" Our discussion of
break-even point and break-even analysis will provide a thought process that
may help to answer those questions and to provide some insight as to how
profits change as sales increase or decrease.
Frankly, predicting a precise amount of sales or
profits is nearly impossible due to a company's many products (with varying
degrees of profitability), the company's many customers (with varying demands
for service), and the interaction between price, promotion and the number of
units sold. These and other factors will complicate the break-even analysis.
In spite of these real-world complexities, we will
present a simple model or technique referred to by several names: break-even
point, break-even analysis, break-even formula, break-even point formula,
break-even model, cost-volume-profit (CVP) analysis, or expense-volume-profit
(EVP) analysis. The latter two names are appealing because the break-even
technique can be adapted to determine the sales needed to attain a specified
amount of profits. However, we will use the terms break-even point and
break-even analysis.
To assist with our explanations, we will use a
fictional company Oil Change Co. (a company that provides oil changes for automobiles).
The amounts and assumptions used in Oil Change Co. are also fictional.
Expense Behavior
At the heart of break-even point or break-even analysis is the
relationship between expenses and revenues. It is critical to know how expenses
will change as sales increase or decrease. Some expenses will increase as sales
increase, whereas some expenses will not change as sales increase or decrease.
Variable
Expenses
Variable expenses increase when sales increase. They also decrease when
sales decrease.
At Oil Change Co. the following items have been identified as variable
expenses. Next to each item is the variable expense per car or per oil change:
Motor oil $ 5.00
Oil filter 3.00
Grease, washer fluid 0.50
Supplies 0.20
Disposal service 0.30
Total variable expenses per car $
9.00
The other expenses at Oil Change Co. (rent, heat, etc.) will not
increase when an additional car is serviced.
For the reasons shown in the above list, Oil Change Co.'s variable
expenses will be $9 if it services one car, $18 if it services two cars, $90 if
it services 10 cars, $900 if it services 100 cars, etc.
Fixed Expenses
Fixed expenses do not
increase when sales increase. Fixed expenses do not decrease when sales decrease.
In other words, fixed expenses such as rent will not change when sales increase
or decrease.
At Oil Change Co. the following items have been identified as fixed
expenses. The amount shown is the fixed expense per week:
Labor including payroll taxes and benefits $1,200
Rent and utilities for the building it uses 700
Depreciation, office and professional, training, other 500
Total fixed expenses per week $2,400
Mixed Expenses
Some expenses are
part variable and part fixed. These are often referred to as mixed or
semi-variable expenses. An example would be a salesperson's compensation that
is composed of a salary portion (fixed expense) and a commission portion
(variable expense). Mixed expenses could be split into two parts. The variable
portion can be listed with other variable expenses and the fixed portion can be
included with the other fixed expenses.
Revenues or Sales
Revenues (or sales)
at Oil Change Co. are the amounts earned from servicing cars. Oil Change Co.
charges one flat fee of $24 for performing the oil change service. For $24 the
company changes the oil and filter, adds needed fluids, adds air to the tires,
and inspects engine belts.
At the present time no other service is provided and the $24 fee is the
same for all automobiles regardless of engine size.
As the result of its pricing, if Oil Change Co. services 10 cars its
revenues (or sales) are $240. If it services 100 cars, its revenues will be
$2,400.
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