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gulaghasi [49]
3 years ago
14

John owns a hot dog stand. He has found that his profit is represented by the equation p(x)=-x^2+62x+77, with p being profits an

d x the number of hot dogs sold. How many hot dogs must he sell to earn the most profit?
Mathematics
2 answers:
dedylja [7]3 years ago
4 0
Using a graphing calculator you can find that the maximum is 1038, so the profit starts to decline at the t value for <span>1038</span>, which is 31


hram777 [196]3 years ago
4 0
We want to maximize the profit, p(x) = -x^2 + 62x + 77.  
The graph of this function is a parabola that opens down.  The x-coordinate of the vertex is x = -b/(2a), which here is x = -62 / (2*-1), or 31.  So, we'll maximize John's profit if we advise him to sell 31 hot dogs.
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