SOLUTION: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) =0.2x^2-1.2x+10.497, where C(x) is in hundreds of dollars.
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Question 499786: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) =0.2x^2-1.2x+10.497, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) =0.2x^2-1.2x+10.497, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
**
C(x) =0.2x^2-1.2x+10.497
complete the square
C(x) =0.2(x^2-6x+9)+10.497-1.8
C(x) =0.2(x-3)^2+8.697
ans:
The shop should build 300 bicycles to minimize the average cost per bicycle
see graph below as a visual of the cost curve.
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