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. H

Question 330149: 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 stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
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C(x)=0.5x^2-0.4x+7.064
Quadratic with a = 0.5 ; b = -0.4 ; c = 7.064
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Minimum occurs when x = -b/2a = 0.4/(2*0.5) = 0.4
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# of bicycles to build is 0.4*100 = 40
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Cheers,
Stan H.
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