Question

Jhon owns a hotdog stand. His profit is represented by the equation

p(x) =-x^2+12 x +44, with p being profits and x the number if
hotdog sold what is the most he can earn ?

Answer 1

$80

Explanation:

`p(x)=-x^2+12x+44\\p'(x)=-2x+12\\\\0=-2x+12\\-12=-2x\\6=x\\\\p(6)=-(6)^2+12(6)+44=80`

Therefore, he can earn $80 at the most.