SOLUTION: John owns a hot dog stand. he has found that his profit is represented by the equation P(x)=-x2+60x+71, with P being the profits and x the number of hot dogs sold. How many hotdo

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: John owns a hot dog stand. he has found that his profit is represented by the equation P(x)=-x2+60x+71, with P being the profits and x the number of hot dogs sold. How many hotdo      Log On


   

Question 444134: John owns a hot dog stand. he has found that his profit is represented by the equation P(x)=-x2+60x+71, with P being the profits and x the number of hot dogs sold. How many hotdogs must he sell to earn the most profit?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
P(x)=-x^2+60x+71
a=-1, b=60, c=71
Max(x)=-b/2a
=-60/-2
=30 hot dogs.
.
Ed