SOLUTION: It is determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.9x+6.356, where C(x) is in hundreds of dollars. How many bicycles s

Question 436809: It is determined that when x hundred bicycles are built, the average cost per bicycle is given by
C(x)=0.5x^2-0.9x+6.356, where C(x) is in hundreds of dollars. How many bicycles should be built to minimize the average cost?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Set to zero: x - 0.9 = 0 ==> x = 0.9. ==> An extremum exists at x = 0.9.
==> the extremum at x = 0.9 is a(n) (absolute) minimum, by the 2nd derivative test.
Hence to minimize average cost, build 0.9*100 = 90 bicycles.
RELATED QUESTIONS
Ace’s Bicycle Designs has found that when x hundred bicycles are built, the average... (answered by Solver92311)

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average... (answered by edjones)

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average... (answered by nyc_function)

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average... (answered by nerdybill,jrfrunner,ewatrrr)

Aki's Bicycle Design has determined that when x hundred bicycles are built, the average... (answered by ccs2011)

Aki's bicycle designs has determined that when x hundred bicycles are built, the average... (answered by KMST)

Aki's bicycle designs has determined that when x hundred bicycles are built, the average... (answered by jrfrunner)

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average... (answered by josmiceli)

Could someone please show me how to solve this problem step by step? Aki's Bicycle... (answered by scott8148)