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Scenario: Alexander and Vanessa
Alexander and Vanessa benefit from scientific research. Alexander's marginal private benefit from such research is given by the equation P = 200 - Q, where Q refers to the amount of research undertaken and P is the price Alexander is willing to pay for such research. Vanessa's marginal private benefit from such research is given by the equation P = 100 - Q. The marginal social cost of engaging in such research is constant at $100.
-(Scenario: Alexander and Vanessa) Given the information in the scenario Alexander and Vanessa, what is the socially optimal amount of scientific research for this economy?


Definitions:

Existentialism

A philosophical theory focusing on free will, choice, and personal responsibility, emphasizing the individual's creation of meaning in an inherently meaningless world.

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refers to extensive damage or destruction on a large scale, often associated with weapons capable of widespread devastation, such as nuclear bombs.

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The existence of an individual human being ranging from birth to death, characterized by the capacity for growth, reproduction, functional activity, and continual change.

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