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
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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?
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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.
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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
