SOLUTION: i have to maximise the revenue function R(x)=385x-0.9x^2

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Question 700534: i have to maximise the revenue function
R(x)=385x-0.9x^2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+R%28x%29=385x-0.9x%5E2+
If the general form is
+ax%5E2+%2B+bx+%2B+c+, then then the
x-coordinate of the vertex is at
+-b%2F%282a%29+
+a+=+-.9+
+b+=+385+
+c+=+0+
-----------
+-b%2F%282a%29+=+-385+%2F+%28+2%2A%28-.9%29+%29+
+-b%2F%282a%29+=+385%2F1.8+
+-b%2F%282a%29+=+213.89+
and
+R%28max%29=385%2A213.89-0.9%2A213.89%5E2+
+R%28max%29+=+82347.22+-+41174.04+
+R%28max%29+=+41173.18+
The maximum revenue is $41,173.18
Here's the plot:
+graph%28+400%2C+400%2C+-100%2C+500%2C+-5000%2C+50000%2C+-.9x%5E2+%2B+385x+%29+