Question 723863: 5. Will this profit function have a maximum, if so, what is it?
To find the maximum, I will use the formula;
P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x ≥ 0.
these are the numbers to use in this function
90 34419
80 33936
70 33451
60 32964
50 54975
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Will this profit function have a maximum, if so, what is it?
To find the maximum, I will use the formula;
P(x) = -.1x2 + 50x - 300, where x is the number of items sold, x ≥ 0.
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Since the coefficient of x^2 is negative P(x) has a maximum value
at the vertex.
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Vertex occurs where x = -b/(2a) = -50/(2*-0.1) = 250
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Max value = P(250) = 5950
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Cheers,
Stan H.
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