anonymous
  • anonymous
A company has determined that when x items are sold daily, the profit P is given by P(x)=-0.002x^2+4.3x-120 What is the profit if 700 items are made? How many items should be made daily in order to maximize the companys profit? I know the first one is 1,910, but how do I maximize the company's profit?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
This basically asks you to find the vertex of the equation
anonymous
  • anonymous
find the derivative and set it to zero
anonymous
  • anonymous
solve for x then

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anonymous
  • anonymous
What formula would I use?
anonymous
  • anonymous
I don't know any formulas but I do know how to find it using a derivative
anonymous
  • anonymous
Ok, any advice on how I should proceed?
anonymous
  • anonymous
Find the derivative
anonymous
  • anonymous
So if I get a derivative of 4.3-0.004x, what should I do then?
anonymous
  • anonymous
set it to zero and solve for x
anonymous
  • anonymous
4.3-0.004x=0
anonymous
  • anonymous
4.3-0.004x=0 -0.004x=-4.3 x=-4.3/-0.004 x=1075
anonymous
  • anonymous
1075 items
anonymous
  • anonymous
i see, so the derivative is the key, awesome, thanks!
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=-0.002x%5E2%2B4.3x-120 if you graph it you can see the highest point right? That point is called the vertex and you can find it using the derivative
anonymous
  • anonymous
Ah, ok I got you.

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