SOLUTION: 20) John owns a hotdog stand. He has found that his profit is represented by the equation
P(x) = -x2 + 66x + 82, with P being profits and x the number of hotdogs sold. How many
h
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Question 126795: 20) John owns a hotdog stand. He has found that his profit is represented by the equation
P(x) = -x2 + 66x + 82, with P being profits and x the number of hotdogs sold. How many
hotdogs must he sell to earn the most profit?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
P(x) = -x^2 + 66x + 82, with P being profits and x the number of hotdogs sold.
How many hotdogs must he sell to earn the most profit?
:
The max of this equation occurs at the axis of symmetry, we can find that be
using the formula x =
In this equation: a = -1; b = 66, so we have:
x = = = +33
:
We can say his max profit occurs when he sell 33 hot dogs
:
You can find out what amt that profit is, by substituting 33 for x in the original equation and finding P(x)
:
From a practical point of view, this does not make sense in the real world.
Using this equation, he would make over $1171 when he sold 33 hot-dogs!!
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