P(x)=(105x)-(1500+10x+0.2x^2)
How many items need to be made to make a profit?

Question

P(x)=(105x)-(1500+10x+0.2x^2)
How many items need to be made to make a  profit?

anonymous · Answer

So for you to make a profit P(x) has to be greater than what?

anonymous · Answer

105x? I thought it would could be set up equal to each other but I'm not sure how to solve it with the exponent.  105x=1500 +10x+.2x^2?

kirbykirby · Answer

To have a profit, $P(x)>0$. If it's equal to 0 exactly, you are not making profit. If it's less than 0, you have too many costs to make any profit (you have a "negative" profit). So, you should solve that inequality, $P(x)>0$

anonymous · Answer

So to solve I would set it up this way: (105x)-(1500+10x+.2x^2)>0?

kirbykirby · Answer

yes

anonymous · Answer

How do you solve for the exponent? -.2x^2 +95x>1500

kirbykirby · Answer

I think a good way to approach this would be to recognize this as a quadratic equation. When you have an equality, you typically put everything to the left side, and let it = 0. ANd then you factor the quadratic, or solve using the quadratic formula. I'd approach it the same way but instead of an equality, you have an inequality. I would probably use the quadratic formula since the quadratic doesn't look easily factorable.