SOLUTION: Urgent Response. Can a tutor be so kind to help with solving this problem? AKI's Bicycle Shop designs has determined that when x hundred bicycles are built,the average cost per

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Question 503165: Urgent Response. Can a tutor be so kind to help with solving this problem?
AKI's Bicycle Shop designs has determined that when x hundred bicycles are built,the average cost per bicycle is given by C(x)=0.1x^2-11.2x+9.232 where
C(x) is in hundreds of dollars.
How many bicycles should the shop build? _____
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
AKI's Bicycle Shop designs has determined that when x hundred bicycles are built,
the average cost per bicycle is given by C(x)=0.1x^2-11.2x+9.232 where
C(x) is in hundreds of dollars.
How many bicycles should the shop build? _____
:
I assume they want to find the no. of bikes that will give minimum cost per bike
:
This is a quadratic equation where the minimum can be found by using the axis of symmetry formula: x = -b/(2a)
In this equation a = .1, b = -11.2
therefore
x = %28-%28-11.2%29%29%2F%282%2A.1%29 = 11.2%2F%28.2%29
x = 56 hundred bikes for min cost per bike