SOLUTION: Could someone please show me how to solve this problem step by step? Aki's Bicycle Designs has determined that when x hundred bicycles are built the average cost per bicycle is giv

Algebra ->  Rational-functions -> SOLUTION: Could someone please show me how to solve this problem step by step? Aki's Bicycle Designs has determined that when x hundred bicycles are built the average cost per bicycle is giv      Log On


   

Question 527426: Could someone please show me how to solve this problem step by step? Aki's Bicycle Designs has determined that when x hundred bicycles are built the average cost per bicycle is given by C(x)=0.2x^2-0.9x+5,796, where C(x) is in hundreds of dollars. how many bicycles should the shop build to minimize the average cost per bicycle?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the function is an upward opening parabola

the minimum is at the vertex, on the axis of symmetry

the general equation for the axis of symmetry for ax^2+bx+c is ___ x = -b / (2a)

in this case ___ x = -(-0.9) / (2 * .2)