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A what is the private optimum of fireworks for the town b

The town of Trommald, MN, has two residents, Butch and Harry. For the town's Fourth of July Celebration, Butch has a demand for fireworks, a public good, of Q = 20-4P, and Harry has a demand of Q= 18-2P. The cost of each firework is $3.

a. What is the private optimum of fireworks for the town?

b. If it is impossible to purchase a fractional number of fireworks, what is the social optimum of fireworks for the town?

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