SOLUTION: 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^2-1.9x+10.614, where C(x) is in hundreds of dollars.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 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^2-1.9x+10.614, where C(x) is in hundreds of dollars.      Log On


   

Question 328143: 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^2-1.9x+10.614, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? The shop would build how many bicycles?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
0.2x^2-1.9x+10.614
Minimum at x=-b/2a
=-(-1.9)/2(.2)
=1.9/.4
x=4.75 minimum
So, 475 bicycles should be built to minimize the average cost per bicycle.
.
Ed