SOLUTION: I am having problems trying to figure this particular problem out. Tickets=-0.2x^2+15x+219

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am having problems trying to figure this particular problem out. Tickets=-0.2x^2+15x+219      Log On


   

Question 495764: I am having problems trying to figure this particular problem out.
Tickets=-0.2x^2+15x+219
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'm guessing that the problem is to find when is
most tickets are sold. This is because
the minus in front of the +x%5E2+ term means
that the curve has a maximum and not a minimum.
The maximum occurs where
+x+=+-b%2F%282a%29+
+a+=+-.2+
+b+=+15+
-.2x%5E2+%2B+15x+%2B+219+
+-b%2F%282a%29+=+-15%2F%282%2A%28-.2%29%29+
+-b%2F%282a%29+=+37.5+
Put this value of x back into
the equation to find maximum ticket sales
-.2%2A37.5%5E2+%2B+15%2A37.5+%2B+219+
+-281.25+%2B+562.5+%2B+219+=+500.25+
This must get rounded off to 500