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Pigouvian tax Homework • Unanswered The plastics industrys market demand is x=120-p and market supply is x=p. The amount of

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Pigouvian tax should be equal to the marginal external cost, so that cost of production at private market equilibrium increases and market moves towards socially optimal equilibrium, thus internalizing the externality.  

Given that, Market demand : x = 120 - p

or, p = 120 - x

Therefore, Marginal private benefit (MPB) = Marginal Social Benefit (MSB) = 120 - x

Marginal private cost (MPC) = x

Marginal social cosst (MSC) = MPC + MEC = x + 0.5x2

MPB = MS B = 120 - X mpe = x mae=mpe + MEC = x+0.5x² At socially optimal equilibrium, MsB=mse = 120-X = x +0.58² => 0-5X?+ 2x

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