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question 175

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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) Refer to the scenario Alexander and Vanessa. If the socially optimal level of scientific research is produced and if both Vanessa and Alexander are truthful in disclosing the marginal private benefits they expect to receive from this research, what is the price per unit of research that Vanessa is willing to pay?


Definitions:

Partnership

A type of business structure where two or more people share ownership, as well as the responsibility for managing the business and the income or losses it generates.

Ordinary Income

Income earned through salaries, wages, commissions, and interest, subject to standard tax rates.

Long-term Capital Gains

Profit from the sale of an asset held for more than one year, typically taxed at a lower rate than ordinary income.

Special Allocations

In partnership taxation, the distribution of income, gain, loss, deduction, or credit to partners in a way that does not directly correspond to their ownership percentage.

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