SOLUTION: assume that the profit p made when t units are sold, t>0 is given by p(t)=t^2-24t+108. For what values of t will there be a profit? (that is, p>0)

Algebra ->  College  -> Linear Algebra -> SOLUTION: assume that the profit p made when t units are sold, t>0 is given by p(t)=t^2-24t+108. For what values of t will there be a profit? (that is, p>0)      Log On


   

Question 872608: assume that the profit p made when t units are sold, t>0 is given by p(t)=t^2-24t+108. For what values of t will there be a profit? (that is, p>0)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Discriminant is 144, so p=0 for t=%2824-sqrt%28144%29%29%2F2 and %2824%2Bsqrt%28144%29%29%2F2;
or for t=6 and at t=18.

The function has a minimum, so the zeros are the boundaries for p%3C0.
Profit occurs for 0%3Ct%3C6 and for 18%3Ct.


graph%28300%2C300%2C-3%2C25%2C-10%2C160%2Cx%5E2-24x%2B108%29

Assumption is that t%3C0 has no practical meaning.