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- anonymous

the profit for a company is given by the equation P=-0.0002x^2+140x-250000 where x is the number of units produced. what production level will yield maximum profit?

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- anonymous

- jamiebookeater

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- anonymous

ok, so can you use an calculator in this question?

- anonymous

a graphics calculator*?

- anonymous

yes

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- anonymous

I have TI-84 plus

- anonymous

okok, that's easy.

- anonymous

well I use a different calculator but the concept of the question is easy.

- anonymous

ok how do you do it?

- anonymous

P=-0.0002x^2+140x-250000
here we can see it's an upside down/inverted parabola indicated by the -0.0002x^2
for the maximum profit it will be at the maximum point, so just graph and find the max or work out the max by hand. of course you are looking for your y value which is known as P(profit) in this context and your x is just how many units you sold.

- anonymous

|dw:1355782043898:dw|

- anonymous

That parabola does not represent the equation given, I just wanted to show you the concept of it for a better understanding.

- anonymous

It didt come up on my graph when i typed it in?

- anonymous

try desmos.com/calculator

- anonymous

the problem is that you window is probably to small, you will have to adjust the x and y values in that graphing part somewhere, I do not use your calculator so unfortunately I cannot help you find it.

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