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# Quadratic Function Help watch

1. Does anyone know how to find the answer to the following question?:
A quadraticprofit function in N, where N is the number of items, has break even pointsN=250 and N = 3150. For what value of Ndoes the maximum profit occur?

Any help would be appreciated ^^
2. (Original post by AFStudent)
Does anyone know how to find the answer to the following question?:
A quadraticprofit function in N, where N is the number of items, has break even pointsN=250 and N = 3150. For what value of Ndoes the maximum profit occur?

Any help would be appreciated ^^
What does it mean in terms of coordinates for a break even point? Can you then construct a quadratic with those two points? (hint: roots, (x-a)(x-b)) can you then expand this, differentiate and find the maximum point?
3. (Original post by Zacken)
What does it mean in terms of coordinates for a break even point? Can you then construct a quadratic with those two points? (hint: roots, (x-a)(x-b)) can you then expand this, differentiate and find the maximum point?
Thank you
4. (Original post by AFStudent)
Thank you
Does it work?
5. Or line of symmetry is halfway between each of the roots. You can't actually find the maximum profit as 2 roots of a quadratic is not enough information to go off. But you can find the value of N as it will be half way between the 2 roots.

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