Asked by Kameron Teague on Jun 22, 2024

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(Scenario: Alexander and Vanessa) Use Scenario: Alexander and Vanessa.What is the socially optimal amount of scientific research for this economy? Scenario: Alexander and Vanessa
Alexander and Vanessa benefit from scientific research.Alexander's marginal private benefit from such research is given by the equation MPB = 200 - Q,where Q refers to the amount of research undertaken and MPB captures the marginal private benefit Alexander gets from different marginal quantities.Meanwhile,Vanessa's marginal private benefit from such research is given by the equation MPB = 100 - Q.The marginal social cost of such research is constant at $100.

A) 60 units
B) 300 units
C) 100 units
D) 200 units

Marginal Private Benefit

The additional benefit received by the consumer or producer from consuming or producing one more unit of a good or service.

Marginal Social Cost

The additional cost imposed on society as a whole from producing one more unit of a good or service.

Socially Optimal

is a condition or outcome in which the allocation of resources maximizes the overall benefit to society.

  • Determine the socially optimal level of provision for public goods and common resources.
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Thomas RuggioJun 25, 2024
Final Answer :
C
Explanation :
The socially optimal level of research occurs where the marginal social cost equals the marginal social benefit. In this case, the marginal social benefit is the sum of the marginal private benefits of Alexander and Vanessa which is given by MPB = 300 - 2Q. Setting this equal to the constant marginal social cost of $100 yields 300 - 2Q = 100, or Q = 100. Therefore, the socially optimal amount of research is 100 units.