SOLUTION: Need help with the problem below
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^2-1.9x + 9.739, wh
Question 363678: Need help with the problem below
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^2-1.9x + 9.739, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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^2-1.9x + 9.739,
where C(x) is in hundreds of dollars.
How many bicycles should the shop build to minimize the average cost per bicycle
:
C(x)=0.1x^2-1.9x + 9.739
This is a quadratic equation, we can find the minimum by finding the axis of symmetry.
x = -b/(2a); in this equation a=.1; b=-1.9
x =
x =
x = 9.5 which is 950 bicycles will give minimum cost
:
If you substitute 9.5 in the equation, you can find the cost per bicycle
C(x) = .714, that's $71.40 is the minimum cost
