SOLUTION: John owns a hotdog stand. His profit is represented by p(x)=-x^2+12x+43, with p(x) being profit and x the number of hotdogs sold. What is the most he can earn? Need steps!

Question 516361: John owns a hotdog stand. His profit is represented by p(x)=-x^2+12x+43, with p(x) being profit and x the number of hotdogs sold. What is the most he can earn? Need steps!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
John owns a hotdog stand.
His profit is represented by p(x) =-x^2+12x+43, with p(x) being profit and x the number of hotdogs sold.
What is the most he can earn?
:
Max profit occurs at the axis of symmetry on this equation.
We can find the axis of symmetry using x = -b/(2a)
in this equation a=-1; b=12
x =
x =
x = 6 hotdogs for max profit
:
Find max profit when x=6
p(6) = -(6^2) + 12(6) + 43
p(6) = -36 + 72 + 43
p(6) = $79 is most he can earn by selling 6 hot dogs (must be some pricey hot dogs!)

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