The Number of Major Crimes Committed in the City Between

question 100

Essay

The number of major crimes committed in the city between 1997 and 2004 is approximated by the function where N(t) denotes the number of crimes committed in year t ( corresponds to 1997). Enraged by the dramatic increase in the crime rate, the citizens, with the help of the local police, organized "Neighborhood Crime Watch" groups in early 2001 to combat this menace.
Show that the growth in the crime rate was maximal in 2003, giving credence to the claim that the Neighborhood Crime Watch program was working.

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Definitions:

Marginal Benefit

Marginal benefit is the additional satisfaction or value a consumer derives from consuming one more unit of a good or service.

Inadequate Information

A situation where the available data is insufficient or missing, leading to uncertainty in decision-making or analysis.

Government Intervention

Actions taken by a government to influence or regulate economic activities, which can include regulations, subsidies, tariffs, and taxes.

Market Failure

A situation where free markets fail to allocate resources efficiently, leading to a loss of economic and social welfare.