Below Are the Graphs of a Function and Its First $f ^ { \prime } ( x )$

question 91

Essay

Below are the graphs of a function and its first and second derivatives. Identify which of the following graphs (a, b, and c) is f (x), which is $f ^ { \prime } ( x )$ , and which is $f ^ { \prime \prime } ( x )$ . Justify your choices.

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Definitions:

MSC (Marginal Social Cost)

The total cost to society of producing an additional unit of a good or service, including both the private costs and any external costs.

Efficient Level

Refers to the point at which a system, process, or economy operates at maximum productivity with minimal waste and expense.

External Costs

Costs that are not borne by the producer or consumer of a good or service, but by society as a whole, such as pollution.

Negative Externality

A cost that affects someone who did not choose to incur that cost or participate in the action causing it, often seen in pollution where the public pays the price for private industry actions.