Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.1x^2-1.8x+8.454, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
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OpenStudy (anonymous):
You need to find the minimum cost per bike, you find this at the point where the differential of the cost function per average bike is 0.
C' = 0.2x-1.8
which will be after 9 bikes
OpenStudy (anonymous):
So the answer is 9?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
if this isn't a maximum in the function... of course... but I think this will be a minimum ;P
OpenStudy (anonymous):
it said that's wrong :(
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OpenStudy (anonymous):
Are you sure you got the formula correct?
OpenStudy (anonymous):
ill show u the Q k?
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
OpenStudy (anonymous):
Dose that help
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OpenStudy (anonymous):
srry, was texting, hang on
OpenStudy (anonymous):
kk
OpenStudy (anonymous):
I'm pretty sure it's still 9.... I think your teacher made an error ;P
OpenStudy (anonymous):
oh wait x is in 100's of bikes ;P
OpenStudy (anonymous):
the answer will be 900
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