SOLUTION: Aki's bicycle designs has determined that when x hundred bicycles are built the average cost per bicycle is given by C(x)=0.1x^2-1.1x+7.715 where C(x) is in hundreds of dollars. H
Algebra.Com
Question 480164: 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^2-1.1x+7.715 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bbicycle?
Answer by nerdybill(7384) (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^2-1.1x+7.715 where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bbicycle?
.
We know this is a parabola that opens upwards (by looking at the coefficient associated with the x^2 term) -- that is, the vertex will be the minimum.
.
x = -b/(2a)
x = -(-1.1)/(2*0.1)
x = (1.1)/(0.2)
x = 5.5
since x was in terms on hundreds:
number of bicycles to minimize ave cost is
5.5*100 = 550
RELATED QUESTIONS
Aki’s Bicycle designs has determined that when x hundred bicycles are built, the average... (answered by ikleyn,josmiceli)
Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the... (answered by ikleyn)
Aki's bicycle designs has determined that when x hundred bicycles are built, the average... (answered by KMST)
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 Designs has determined that when x hundred bicycles are built, the... (answered by rothauserc)
Could someone please show me how to solve this problem step by step? Aki's Bicycle... (answered by scott8148)
AKI's Bicycle Shop designs has determined that when x hundred bicycles are built,the... (answered by stanbon)