SOLUTION: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)= -x^2+62x+79, with P being profits and x the number of hotdogs sold. How many hotdogs mus

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)= -x^2+62x+79, with P being profits and x the number of hotdogs sold. How many hotdogs mus      Log On

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Question 166842: John owns a hotdog stand. He has found that his profit is represented by the equation P(x)= -x^2+62x+79, with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To earn money, his profits have to be positive.
P%28x%29%3E=0
Let's find the point where the profits equal zero.
From that point on, his profit will be positive.
P%28x%29=0
-x%5E2%2B62x%2B79=0
+graph%28+300%2C+300%2C+-10%2C+50%2C+-50%2C+1500%2C+-x%5E2%2B62x%2B79%29+
.
.
.
Check the equation.
John makes a $79 profit selling 0 hot dogs, that can't be right.
Also, when he sells more than a certain number (63), his profits become negative, that doesn't make sense either.
Check and re-post the problem.