Perreault−McCarthy: Basic
Marketing: A
Global−Managerial
Approach, 14/e
- Price Setting in the
Business World
Text © The McGraw−Hill
Companies, 2002
Price Setting in the Business World 529
variable costs increase continually as more and more units are produced. So it’s the
increases in variable cost that explain the increase in total cost. (Technical note: Divid-
ing total variable cost by output equals average variable cost. We do not show average
variable cost in this table because it is not central to the discussion that follows. How-
ever, we should note that in this example average variable cost decreases for a while
and then increases again. This pattern is found in many firms after economies of scale
run out—say, because a firm must pay overtime to be able to sell a higher quantity.)
There is another kind of cost that is vital to marginal analysis. Marginal costis
the change in total cost that results from producing one more unit. In Exhibit 18-9,
you can see that it costs $355 to produce five units of a product but only $344 to
produce four units. Thus the marginal cost for the fifth unit is $11. In other words,
marginal cost is the additional cost of producing one more specific unit.By contrast,
average cost is the average for all units.
The marginal cost column in Exhibit 18-9 shows what each extra unit costs. This
suggests the minimum extra revenue we would like to get for that additional unit. Usu-
ally, however, we’re not interested in just covering costs, we’re shooting for a profit.
In fact, to maximize profit, a manager generally wants to lower the price and
sell more units as long as the marginal revenue from selling them is at least equal
to the marginal cost of the extra units. From this we get the following rule for
maximizing profit:The highest profit is earned at the price where marginal cost is
just less than or equal to marginal revenue.*
You can see this rule operating in Exhibit 18-9. As the price is cut from $140
down to $79, the quantity sold increases to six units and the profit increases to its
maximum level, $106. At that point, marginal revenue and marginal cost are about
equal. However, beyond that point further price cuts result in lower profits, even
though a larger quantity is sold. Note, for example, that at a price of $53, which
would be required to sell eight units, the profit almost disappears. Below that price
there would be losses.
Total profit is at a maximum at the point where marginal revenue (MR) equals
marginal cost (MC). However, marginal profit—the extra profit on the last unit—
is near zero. But that is exactly why the most profitable price is the one where related
quantity sold results in marginal cost and marginal revenue that are equal. Marginal
analysis shows that when the firm is looking for the best price to charge, it should
lower the price—to increase the quantity it will sell—as long as the last unit it sells
will yield extra profit.
You can see the effect of all of these relationships clearly in Exhibit 18-10. It
graphs the total revenue, total cost, and total profit relationships for the numbers
we’ve been working with in Exhibit 18-9. The highest point on the total profit curve
is at a quantity of six units. This is also the quantity where we find the greatest ver-
tical distance between the total revenue curve and the total cost curve. Exhibit 18-9
shows that it is the $79 price that results in selling six units, so $79 is the price
that leads to the highest profit.
A price lower than $79 would result in a higher sales volume. But you can see that
the total profit curve declines beyond a quantity of 6 units. So a profit-maximizing
marketing manager would not be interested in setting a lower price.
In Exhibit 18-10, note that there are two different points where total revenue
equals total cost. These two break-even points show there is a range of profitaround
the price that produces maximum profit. The highest profit is for a price of $79, but
this firm’s strategy would be profitable all the way from a price of $53 to $117.
Profit is largest when
marginal revenue
marginal cost
Profit maximization
with total revenue and
total cost curves
*This rule applies in the typical situations where the curves are shaped similarly to those discussed here.
As a technical matter, however, we should add the following to the rule for maximizing profit: The marginal
cost must be increasing, or decreasing, at a lesser rate than marginal revenue.
A profit range is
reassuring