SOLUTION: The profit that the vendor makes per day by selling x Pretzels is given by the function P(x)=-0.002x^2 + 1.6x -400. Find the number of Pretzels that must be sold to maximize profit

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Question 1143549: The profit that the vendor makes per day by selling x Pretzels is given by the function P(x)=-0.002x^2 + 1.6x -400. Find the number of Pretzels that must be sold to maximize profit.
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Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

The finction  f(x) = -0.002x^2 + 1.6x - 400  gets the maximum at  x= -b%2F%282a%29 = -1.6%2F%282%2A%28-0.002%29%29 = 1%2F6.0.004 = 400.    ANSWER

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On finding the maximum/minimum of a quadratic function see the lessons
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Finding minimum/maximum of quadratic functions".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.