SOLUTION: the profit for a veggie dog vendor is given by the function : P(v)=. -.004v^2+1.32v-200 , where v is the number of veggie dogs sold per day. how many veggie dogs does she need to s

Algebra ->  Rational-functions -> SOLUTION: the profit for a veggie dog vendor is given by the function : P(v)=. -.004v^2+1.32v-200 , where v is the number of veggie dogs sold per day. how many veggie dogs does she need to s      Log On


   



Question 1039036: the profit for a veggie dog vendor is given by the function : P(v)=. -.004v^2+1.32v-200 , where v is the number of veggie dogs sold per day. how many veggie dogs does she need to sell in a day to make maximum profit?
must show all work for full credit, thank you!!!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P%28v%29+=+-.004v%5E2+%2B+1.32v+-+200+
( I changed the sign of +-200+
to +200+. I can't get the right answer
with the negative sign
This is a parabola with a peak.
The vertex ( peak ) is at:
+v%5Bp%5D+=+-b%2F%282a%29+
+v%5Bp%5D+=+-1.32%2F%28+2%2A%28-.004%29%29+
+v%5Bp%5D+=+1.32%2F.008+
+v%5Bp%5D+=+165+
Profit is a maximum when 165
veggie dogs are sold per day
---------------------------
here's the plot:
+graph%28+400%2C+400%2C+-40%2C+400%2C+-50%2C+350%2C+-.004x%5E2+%2B+1.32x+%2B+200+%29+