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Private versus Social Costs
             Now let’s turn briefly to consider a case in which production of a good
             creates external costs—namely, the livestock industry. Whatever it is—
             cows, pigs, chicken, sheep, or salmon—livestock farming produces prodi-
             gious amounts of what is euphemistically known as “muck.” But that’s
             not all: scientists estimate that the amount of methane gas produced by
             livestock currently rivals the amount caused by the burning of fossil fuels
             in the creation of greenhouse gases. From the point of view of society as a
             whole, then, the cost of livestock farming includes both direct production  Photodisc
             costs (payments for factors of production and inputs) and the external en-                                Section 14 Market Failure and the Role of Government
             vironmental costs imposed as a by-product of farming.                      The social cost of livestock produc-
               When a good like pork involves negative externalities, there is a difference between  tion is felt beyond the farm.
             the marginal cost to the firm, which we distinguish as the marginal private cost, and
             the marginal cost to society, the marginal social cost of a good (or likewise of a service
             or activity). The difference between the marginal private cost (MPC) and the marginal
             social cost (MSC) is the marginal external cost (MEC)—the increase in external costs to  The marginal private cost of a good is
             society from an additional unit of the good:                                the marginal cost of producing that good,
                                                                                         not including any external costs.
                  (75-2) MSC = MPC + MEC                                                 The marginal social cost of a good is
                                                                                         equal to the marginal private cost of
             Panel (a) in Figure 75.4 shows the marginal social cost curve, MSC, of livestock; it cor-  production plus its marginal external cost.
             responds to the industry supply curve, S, shifted upward by the amount of the marginal  The marginal external cost of a good
             external cost. (Recall that in a competitive industry, the industry supply curve is the  is the increase in external costs created
             horizontal sum of the individual firms’ supply curves, which are the same as their  by one more unit of the good.



                figure  75.4                  Negative Externalities and Production


                               (a) Negative Externality                            (b) Optimal Pigouvian Tax
                 Price,                                              Price
                marginal                                              of
                 social                                            livestock
                 cost of             Marginal    MSC of
                                     external
                livestock                        livestock
                                     cost
                                                                 Price to
                                                                 consumers
                    P MSC                                        after tax                              S
                                     O              S                                    O
                    P OPT
                                                                 Optimal
                    P MKT                  E MKT                 Pigouvian                      E MKT
                                                                 tax


                                                  D               Price to                            D
                                                                  producers
                                                                  after tax

                                    Q OPT   Q MKT    Quantity                           Q OPT  Q MKT     Quantity
                                                  of livestock                                         of livestock


                        Livestock production generates external costs, so the marginal  the demand curve, D. At Q MKT , the market price, P MKT , is less
                        social cost curve, MSC, of livestock, corresponds to the supply  than P MSC , the true marginal cost to society of livestock produc-
                        curve, S, shifted upward by the marginal external cost. Panel (a)  tion. Panel (b) shows how an optimal Pigouvian tax on livestock
                        shows that without government action, the market produces the  production, equal to its marginal external cost, moves the pro-
                        quantity Q MKT . It is greater than the socially optimal quantity of  duction to Q OPT , resulting in lower output and a higher price
                        livestock production, Q OPT , the quantity at which MSC crosses  to consumers.



                                                             module  75     Exter nalities and Public Policy    739
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