

Answer & explanation
Correct answer: option 2
$P(x)=-5x^2+125x+37500$
$P'(x)=-10x+125⇒x=12.5$
$P''(x)=-10<0⇒x=12.5$ (point of maxima)
so $P(12.5)=38,281.25$


Correct answer: option 2
$P(x)=-5x^2+125x+37500$
$P'(x)=-10x+125⇒x=12.5$
$P''(x)=-10<0⇒x=12.5$ (point of maxima)
so $P(12.5)=38,281.25$