What assumptions about the economy must be true for the invisible hand to work?

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Option 1: What assumptions about the economy must be true for the invisible hand to work? To what extent are those assumptions valid in the real world? Do these conditions hold in the social service industries?
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Option 2: As illustrated in the text, society must make trade-offs in terms of what society produces. Examine these trade-offs in the context of the production possibilities frontier. Use a social service industry such as healthcare as an example.

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