217k views
2 votes
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 ?

1 Answer

3 votes

Answer:

$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.

User Jkrevis
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