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the annual revenue and cost functions for a manufacturer of precision gauges are approximately R(x)=520x-0.02x^2 and c(x)=200x+100,000,where x denotes the number of gauges. what is the maximum annual profit?

Respuesta :

Profit=Revenue - cost 

P(x)=-0.02x^2 +520x -200x -100,000

P(x)=-0.02x^2 +320x -100,000

P '(x)=-0.04x+320=0

x=320/0.04=8000

P(8000)=1,180,000
Your final answer would be 1,180,000

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