Levels of production in P(x)=.....

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Good_Birdy

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Feb 10, 2007
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I am so lost:

"the profit generated from producing and selling x units is given by
P(x)=-.05x^2+23x-7000"

"What levels of production will generate a profit of $50000?"

I am not so good at math so what is meant by "levels of production"? the derrivative?

should end up with two answers?!

Please help! Thanks!
 
Good_Birdy said:
"the profit generated from producing and selling x units is given by
P(x)=-.05x^2+23x-7000"

"What levels of production will generate a profit of $50000?"
Click to expand...

You have the profit equation. The problem wants to know how many units to produce to make a profit of $50000. Set P(x) equal to 50000 and solve the equation for x, which represents the number of units produced, or, put another way, the production level.

50000 = -0.05x<sup>2</sup> + 23x - 7000

that's all.
 
think about the domain of x in the context of the problem ...

can one produce negative units of something?
 
Okay, so negitive units doesn't make any sence--


But I am supposed to give two answer "levels" to this problem, and that's what confuses me so. I was wondering if I were to put it in a quadratic equation or something?

Hah I feel so hopeless! Thank you for your help.
 
something is wrong with your profit function, P(x) = -.05x^2+23x-7000

P(x) is negative for all x ... please recheck P(x) ... did it come from the problem statement or did you come up with it?
 
oh I am sorry, i didnt mean for anyone to do it I made this one up because I felt bad copying exactly what the homework said. this was just an example I was just wondering how I was supposed to get two answers for a problem modeled just like this.(the only differences are the coefficiants)

my original problem p(x) does end up being positive.
 
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