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Recreation Centers Offer a Place for Young People to Play

Question 78

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Recreation centers offer a place for young people to play sports and do other activities at a marginal cost of MC = 0.25Q. The inverse demand curve for recreation centers is given by P = 10 - 0.25Q, where P is the price of entry and Q measures hundreds of entrants. Recreation centers generate positive externalities because they help get young people off the street and engaged in productive activities. The external marginal benefits are EMB = 1 + 0.06Q. Recreation centers offer a place for young people to play sports and do other activities at a marginal cost of MC = 0.25Q. The inverse demand curve for recreation centers is given by P = 10 - 0.25Q, where P is the price of entry and Q measures hundreds of entrants. Recreation centers generate positive externalities because they help get young people off the street and engaged in productive activities. The external marginal benefits are EMB = 1 + 0.06Q.

Correct Answer:

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a. Set P = MC:
10 - 0.25Q = 0.25Q
0.50 =...

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