SOLUTION: Aki's Bicycle Design has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.5x+8.256, where C(x) is in hundreds of dollars. Ho

Question 513643: Aki's Bicycle Design has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.5x+8.256, 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 has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.5x+8.256, 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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a = 0.2 ; b = -0.5 ; c = 8.256
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minimum cost occurs when x = -b/2a = 0.5/(2*0.2) = 0.5/0.4 = 1.25
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Ans: 125 bikes
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Cheers,
Stan H.
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