A program is proposed to the state correctional agency to reduce gun violence across the state. The program claims that, if adopted, it will substantially reduce the cost of crime prevention due to gun-related violence. The agency carried out a preliminary study of the program and obtained the cost of running the program (C), the savings in the cost of crime prevention (S), based on the number of individuals who participated in the program - mostly inmates convicted of gun-related violence (N), given by the following functions:

S = 0.75N2 + 1500N + 3500 

C = 2.5N2 – 6000N – 8000 

Determine if the net return (π) from the program is positive and if it is maximum.

Answer rating: 100% (QA)

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