SOLUTION: Aki's Bicycle Designs has determined that when x hundred bicycles are buiklt ,the average cost per bicycle is given by C(x)=0.1x^2-0.2x+3.511,where C(x) is in hundreds of dollars.

Question 414284: Aki's Bicycle Designs has determined that when x hundred bicycles are buiklt ,the average cost per bicycle is given by C(x)=0.1x^2-0.2x+3.511,where C(x) is in hundreds of dollars.
How many bicycles should the shop build to minimize the average cost per bicycle?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

You want to find the vertex of this curve
It's in the form

The vertex is at V(x,y) where

and

They should build 100 bicycles to minimize cost, which would be $341.10 per bicycle
Here's a plot (in hundreds of dollars and hundreds of bicycles)

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