Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2 -1.3x+9.972, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

Question

anonymous · Answer

The shop should build ___ bicycles.

anonymous · Answer

do you remember formula for vertex?

anonymous · Answer

i wrote it maybe 15 times. use it here

anonymous · Answer

take the derivative and you can find the minimum by setting it equal to zero

anonymous · Answer

here we go...

dumbcow · Answer

C(x) represents a parabola where vertex is minimum
Find vertex of C(x) using:
x = -b/2a

anonymous · Answer

http://openstudy.com/groups/mathematics?version=feed:get-live-help&referrer=mathematics&domain=tutorial.math.lamar.edu#/groups/mathematics/updates/4e4056bd0b8bfb83f3cbf936

dumbcow · Answer

haha satellite is that what that thing was about...lol

anonymous · Answer

yes and you will notice that first suggestion was...
take the derivative!

anonymous · Answer

in this case it is a little odd because 
$$-\frac{b}{2a}=\frac{1.3}{1}=1.3$$  oh i see in hundreds.  should build 130

dumbcow · Answer

yes that would be easiest but im learning not to assume anyone knows calculus right off

anonymous · Answer

no in fact it would not be easiest!

anonymous · Answer

hilarious

anonymous · Answer

minus b over two a is easiest.  why take the derivative, set equal zero and solve when you are going to get 
minus
b
over 
2 
a
in any case?

anonymous · Answer

ikr?  take the derivative.  like i need to compute a limit to do this

dumbcow · Answer

lol either way..to me its easier