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How do we measure utility? For the sake of simplicity, it is useful to suppose that we
        A util is a unit of utility.
                                       can measure utility in hypothetical units called—what else?—utils. A utility function
                                       shows the relationship between a consumer’s utility and the combination of goods and
                                       services—the consumption bundle—he or she consumes.
                                          Figure 51.1 illustrates a utility function. It shows the total utility that Cassie, who
                                       likes fried clams, gets from an all-you-can-eat clam dinner. We suppose that her con-
                                       sumption bundle consists of a side of coleslaw, which comes with the meal, plus a
                                       number of clams to be determined. The table that accompanies the figure shows how
                                       Cassie’s total utility depends on the number of clams; the curve in panel (a) of the fig-
                                       ure shows that same information graphically.
                                          Cassie’s utility function slopes upward over most of the range shown, but it gets flatter
                                       as the number of clams consumed increases. And in this example it eventually turns down-
                                       ward. According to the information in the table in Figure 51.1, nine clams is a clam too far.
                                       Adding that additional clam actually makes Cassie worse off: it would lower her total util-
                                       ity. If she’s rational, of course, Cassie will realize that and not consume the ninth clam.


               figure 51.1                  Cassie’s Total Utility and Marginal Utility


                                      (a) Cassie’s Utility Function
                  Total
                  utility
                  (utils)
                     70
                     60                                             Utility
                                                                   function              Total   Marginal
                     50                                                         Quantity  utility utility per clam
                                                                                of clams  (utils)  (utils)
                     40
                                                                                   0      0
                     30                                                                             15
                                                                                   1      15
                     20                                                                             13
                                                                                   2      28
                     10                                                                             11
                                                                                   3      39
                                                                                                     9
                      0     1    2    3    4    5    6   7    8    9               4      48
                                                             Quantity of clams                       7
                                                                                   5      55
                                                                                                     5
                                                                                   6      60
                                    (b) Cassie’s Marginal Utility Curve                              3
                Marginal                                                           7      63
               utility per                                                                           1
              clam (utils)                                                         8      64
                                                                                                    –1
                     16                                                            9      63
                     14
                     12
                                                                                Panel (a) shows how Cassie’s total utility
                     10                                                         depends on her consumption of fried clams.
                      8                                                         It increases until it reaches its maximum
                      6                                                         utility level of 64 utils at 8 clams consumed
                                                                                and decreases after that. Marginal utility is
                      4                                       Marginal          calculated in the table. Panel (b) shows the
                      2                                        utility          marginal utility curve, which slopes down-
                                                               curve
                      0                                                         ward due to diminishing marginal utility.
                     –2                                                         That is, each additional clam gives Cassie
                            1    2    3    4    5    6   7    8    9            less utility than the previous clam.
                                                             Quantity of clams


        512   section 9     Behind the Demand Curve: Consumer Choice
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