I need help with this problem. this is what I got so far:

P(x)=12x-(x^2/500)-680-4x-0.01x^2

P'(x)=12-0.004x-4-0.02x

P'(x)= -0.024x-8

x=8/0.024

My book says x=8/0.024 which somehow become 1000/3. They are the same when solved but how did they come up with 1000/3?

1 answer

multiply numerator and denominator by 1000/8
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