Question

if the profit ffunction is given by p(x)=41+24x-18x^2. find maximum profit

Answer 1

Maximum value of a function is understood by differentiating it.

So p(x)=41+24x-18x^2

⇒p'(x)=0 i.e 24-36x=0

⇒p''(x)<0 i.e -36<0 implies there is local maxima

⇒x=24/36=2/3

So maximum profit is p(2/3) = 49