SOLUTION: Aki's bicycle design had determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.4x+7.064 where C(x) is in hundreds of dollars. Ho

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Aki's bicycle design had determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.4x+7.064 where C(x) is in hundreds of dollars. Ho      Log On


   



Question 329414: Aki's bicycle design had determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.4x+7.064 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
C'[x] = x - 0.4
& C"[x] = +1
so setting C'[x] to 0 will give the minimum
x - 0.4 = 0
x = 0.4
Answer: 40 bicycles