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c10competitive markets applications.qxd  7/15/10  4:58 PM  Page 399







                                         10.1 THE INVISIBLE HAND, EXCISE TAXES, AND SUBSIDIES                   399
                      by $3 because the impact of the subsidy is “as if” every seller’s marginal cost has de-
                      creased by $3 per unit. The “as if” supply curve S   $3 tells us how much producers
                      will offer for sale when the price received by producers includes the price consumers
                      pay plus the subsidy.
                         With no subsidy, equilibrium occurs at the point where the demand curve D and
                                                             d
                                                                  s
                      the supply curve S intersect. At this point, P   P   $8, and the market-clearing
                      quantity is Q*   6 million units per year. With the subsidy, the equilibrium quantity
                      is Q   7 million units per year where the demand curve and the “as if” supply curve
                         1
                                                    d
                                                                           d
                                                               s
                      S   $3 intersect. At this quantity, P   $6 and P   $9 (i.e., P plus the $3 subsidy).
                         Now we can compare the equilibria with and without the subsidy, using Figure 10.6
                      to calculate the consumer surplus, producer surplus, impact on government budget,
                      net economic benefits, and deadweight loss.
                         With no subsidy, consumer surplus is the area below the demand curve and above
                      the price consumers pay ($8) (consumer surplus   areas A   B   $36 million per
                      year). Producer surplus is the area above the supply curve and below the price produc-
                      ers receive (also $8) (producer surplus   areas E   F   $18 million per year). There
                      are no government expenditures, so the net economic benefit is $54 million per year
                      (consumer surplus   producer surplus), and there is no deadweight loss.
                         With the subsidy, consumer surplus is the area below the demand curve and above
                                            d
                      the price consumers pay (P   $6) (consumer surplus   areas A   B   E   G   K
                      $49 million per year). Producer surplus is the area above the actual supply curve S and
                                                                 s
                      below the after-subsidy price producers receive (P   $9) (producer surplus   areas
                      B   C   E   F   $24.5 million per year). Government expenditures are the number of
                      units sold (7 million) times the subsidy per unit ($3). (Government expenditures   the
                      rectangle consisting of areas B   C   E   G   K   J   $21 million per year; note
                      that, in the table within Figure 10.6, this is represented as a negative benefit because
                      it must be financed by taxes collected elsewhere in the economy.) The net economic
                      benefit is $52.5 million per year (consumer surplus   producer surplus   government
                      expenditures), so the deadweight loss is $1.5 million per year. (Net economic benefit
                      with no subsidy   net economic benefit with subsidy   $54 million  $52.5 million.)
                         The deadweight loss of $1.5 million (area J) arises because the subsidy increases
                      consumer surplus by $13 million and producer surplus by $6.5 million (equals $19.5
                      million total), while necessitating government expenditures of $21 million ($19.5 mil-
                      lion   $21 million    $1.5 million). Another way of looking at this is to say that the
                      deadweight loss arises because the quantity produced rises from 6 million units with
                      no subsidy to 7 million units with the subsidy. Over that range of output, the supply
                      curve lies above the demand curve, so net benefits are reduced as each of these units
                      is produced. Thus net economic benefits are reduced because the subsidy causes the
                      market to overproduce relative to the efficient level of production.
                         Similar to the case with an excise tax, the potential net economic benefit is constant
                      and is equal to the sum of consumer surplus, producer surplus, the impact on the gov-
                      ernment budget, and deadweight loss, while the actual net economic benefit decreases
                      by an amount equal to the deadweight loss. All this is shown in the following table:

                                 Consumer      Producer    Impact on Government    Deadweight       Net Economic
                                  Surplus      Surplus            Budget              Loss             Benefit
                      With No   $36 million   $18 million            0                  0        Potential: $54 million
                      Subsidy                                                                    Actual: $54 million
                      With      $49 million  $24.5 million       $21 million       $1.5 million  Potential: $54 million
                      Subsidy                                                                    Actual: $52.5 million
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