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There are 50 residents in the community where they live, and they can consume one private property and one public propertythe tree landscape. According to

There are 50 residents in the community where they live, and they can consume one private property and one public propertythe tree landscape. According to the survey results, Residents' attitudes towards these two goods can be divided into two categories. The marginal rate of substitution between public goods and private goods rate of substitution, MRS) is MRS1 = 20  Q, where Q is the amount of consumption of public goods; The marginal rate of substitution between private goods is MRS2 = 30  2Q. There are 30 residents in the first category, 20 residents in the second category, and The marginal rate of transformation (MRT) for the amount of private goods consumed per unit of public goods is MRT = 400 +10Q. Try to answer the following questions: (1) Please describe in detail the main characteristics of public goods. (2) Please write down the conditions for the most suitable amount of public goods provided, and calculate the most suitable amount of public goods for the community.

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