Amityville has a competitive chocolate industry with the (inverse) supply curve P = 440 + Q. While the (inverse) market demand for chocolate is pd = 1200 - Q, there are external benefits that the citizens of Amityville derive from having a chocolate odor wafting through town. The marginal external benefit schedule is MEB = 60 - 0.05Q. 1. What is the socially optimal amount of chocolate production in Amityville? 2. Since there is a positive externality, the level of chocolate production in a competitive market will be too low. If the government of Amityville used a subsidy of $S per unit to encourage the optimal amount of chocolate production, what level should that subsidy be? Hint: the principle is the same as finding the optimal tax when there is a negative externality, the subsidy should be related to the marginal external benefit just like the tax is related to the marginal external cost.

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Amityville has a competitive chocolate industry with the (inverse) supply curve Ps = 440 + Q.
While the (inverse) market demand for chocolate is pd = 1200 – Q, there are external benefits
that the citizens of Amityville derive from having a chocolate odor wafting through town. The
marginal external benefit schedule is MEB = 60 – 0.05Q.
1. What is the socially optimal amount of chocolate production in Amityville?
2. Since there is a positive externality, the level of chocolate production in a competitive
market will be too low. If the government of Amityville used a subsidy of $S per unit to
encourage the optimal amount of chocolate production, what level should that subsidy
be? Hint: the principle is the same as finding the optimal tax when there is a negative
externality, the subsidy should be related to the marginal external benefit just like the
tax is related to the marginal external cost.
Transcribed Image Text:Amityville has a competitive chocolate industry with the (inverse) supply curve Ps = 440 + Q. While the (inverse) market demand for chocolate is pd = 1200 – Q, there are external benefits that the citizens of Amityville derive from having a chocolate odor wafting through town. The marginal external benefit schedule is MEB = 60 – 0.05Q. 1. What is the socially optimal amount of chocolate production in Amityville? 2. Since there is a positive externality, the level of chocolate production in a competitive market will be too low. If the government of Amityville used a subsidy of $S per unit to encourage the optimal amount of chocolate production, what level should that subsidy be? Hint: the principle is the same as finding the optimal tax when there is a negative externality, the subsidy should be related to the marginal external benefit just like the tax is related to the marginal external cost.
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