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338       Part 4  |  Product and Price Decisions



                                          fi rms face downward-sloping demand curves for their products. In other words, they must
                                          lower their prices to sell additional units. This situation means that each additional unit of
                                          product sold provides the fi rm with less revenue than the previous unit sold, which you can
                                          see illustrated in   Figure 12.5   . Marginal revenue decreases as price decreases and quantity
                                          sold increases. Eventually, marginal revenue will reach zero, and the sale of additional units
                                            actually causes the fi rm to lose money.
                                                 Before the fi rm can determine whether a unit will be profi table, it must calculate costs and
                                          revenue, because profi t equals revenue minus cost. If MR is the increase in revenue generated
                                          by the sale of a single additional unit of a product, and MC is the additional cost a single unit
                                          adds to a fi rm, subtracting MR from MC will tells us whether the unit is profi table.   Table 12.2
                                          provides an example of the relationships between price, quantity sold, total revenue, marginal
                                          revenue, marginal cost, and total cost. It indicates to a marketer the various combinations of
                                          price and cost where maximum profi ts are possible. Notice that the total cost and the marginal
                                          cost in   Table 12.2    also appear in   Table 12.1   .
                                               Profit (which is  Total Revenue minus  Total Cost) is the highest at the point where
                                              MC   =   MR    . In   Table 12.2   , note that this point occurs at four units and a price of $    33    . Beyond
                                          this point, the additional cost of producing another unit exceeds the additional revenue gener-
                                          ated, and profits decrease. If the price were based on minimum average total cost—$    22     in
                                            Table 12.1   —it would result in a lower profit—$    40     in   Table 12.2   —for five units priced at $    30    ,
                                          versus a profit of $    42     for four units priced at $    33    .
                                                Graphically,    Figure  12.6     combines  the  information  given  in    Figures  12.4     and    12.5  .  It
                                          shows that any unit for which MR exceeds MC adds to a fi rm’s profi ts, and any unit for which
                                          MC exceeds MR subtracts from profi ts. The level at which it is best for a fi rm to produce is
                                          where MR equals MC, because this is the most profi table level of production.
                                                This discussion of marginal analysis may give the false impression that pricing can be
                                          highly precise and mathematical. If revenue (demand) and cost (supply) remained constant,
                                          marketers could set prices for maximum profi ts. In practice, however, costs and revenues
                                          change frequently. The competitive tactics of other fi rms or government actions can quickly
                                          change the marketing environment and undermine a company’s expectations for revenue.
                                          Thus, marginal analysis is only a model from which to work. It offers little help in pricing
                                          new products before costs and revenues are established. On the other hand, most marketers
                                          can benefi t by understanding the relationship between marginal cost and marginal revenue in
                                          setting prices of existing products.


                                              Table  12.2    Marginal Analysis Method for Determining the
                                                       Most Profi table Price *

                                                                     3
                                                          2      Total          4          5          6          7
                                                  1   Quantity   Revenue   Marginal   Marginal    Total      Profi t
                                             Price    Sold                (  1  )      ×      (  2  )        Revenue   Cost   Cost             (  3  )      −      (  6  )

                                                 $    57               1      $    57      $    57      $    60      $    60      $    −  3

                                                          50               2              100              43              10              70              30
                                                          38               3              114              14              2              72              42

                                                          33     *                 4              132              18              18              90              42

                                                          30               5              150              18              20              110              40
                                                          27               6              162              12              30              140              22

                                                          25               7              175              13              40              180      −    5
                                            *Boldface indicates the best price–profit combination.
                                                      From Pride/ Ferrell ,  Marketing  2014, 17E. 2014 Cengage Learning.



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