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                  720                   CHAPTER 17   EXTERNALITIES AND PUBLIC GOODS
                                        being either rival or exclusive or even both. For example, because a public university has
                                        a limited capacity, education there can be a rival good. When one student enrolls, another
                                        prospective student might be displaced. Further, education at a public university can be
                                        an exclusive good because the university can deny admission to an applicant and because
                                        the university can exclude any student who does not pay the required tuition.


                                        EFFICIENT PROVISION OF A PUBLIC GOOD
                                        How much of a public good should be provided to maximize net social benefits? As
                                        with other goods, a public good should be provided as long as the marginal benefit of
                                        an additional unit is at least as great as the marginal cost of that unit. The marginal
                                        cost of a public good is the opportunity cost of using economic resources to produce
                                        that good rather than other goods. Because public goods are nonrival, many con-
                                        sumers may enjoy the benefits of an additional unit. The marginal benefit is thus the
                                        sum of the benefits of all the people who value the additional unit.
                                           Figure 17.7 illustrates the efficient level of production for a public good. For sim-
                                        plicity, let’s assume that there are only two consumers in the market. D is the demand
                                                                                                   1
                                        curve for the public good by the first consumer, and D is the demand curve for the
                                                                                       2
                                        second consumer. The height of a consumer’s demand curve at any quantity shows
                                        the marginal benefit of an additional unit of the good to that consumer. For example,
                                        the first consumer has a marginal benefit of $30 per year for the 70th unit. The second
                                        consumer has a marginal benefit of $130 for the same unit.





                                            $400                         MC = 400





                    FIGURE 17.7
                    Efficient Provision of a  300  E
                    Public Good
                    The marginal social ben-          MSB
                    efit of a public good is
                    the vertical sum of the  240                         MC = 240
                    demand curves for the              F
                    consumers in the market.  Price (dollars per unit)
                    The marginal social ben-  200
                    efit curve is EGH. When
                    the marginal cost of the  170
                                             160
                    public good is $240, the
                    economically efficient   130
                    level of production is
                    30 units, the output at  100                    D 2     G
                    which the marginal cost
                    and marginal social ben-  70
                    efit curves intersect.    50                                        K        MC = 50
                      If the marginal cost is
                    $50, the efficient level of  30                    D 1
                    production is 150 units;                                                         H
                    if the marginal cost is    0  10    30        70      100         150          200
                    $400, it is inefficient to                   Quantity of the public good (units)
                    provide the good at all.
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