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I tried it by taking derivative and putting it equal to zero (for obtaining Maxima or minima), but I don't know how to take derivative of C(100,x). Infact derivative of C (100,x) doesn't exist,so how to start?

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For maxima calculate range of x such that $$\frac{f(x+1)}{f(x)}<1$$ $$\frac{2(100-x)}{x+1}<1$$ $$x>\frac{199}{3}$$ Thus for $x=67$, $f(x)$ is maximum. Similarly you can find minimum.

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  • $\begingroup$ @farruhota Thanks for pointing out the mistake $\endgroup$ Feb 25, 2018 at 10:53
  • $\begingroup$ Thanks a lot Sir... $\endgroup$ Feb 25, 2018 at 13:11

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