SOLUTION: Aki’s Bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.9x+1.861, where C(x) is in hundreds of dollars.
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-> SOLUTION: Aki’s Bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.9x+1.861, where C(x) is in hundreds of dollars.
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Question 1098325: Aki’s Bicycle designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.5x^2-0.9x+1.861, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? Found 2 solutions by ikleyn, josmiceli:Answer by ikleyn(52809) (Show Source):
The minimal average cost per bicycle is achieved at
x = {{-(-0.9)/(2*0.5)}}} = 0.9,
which corresponds to 90 bicycles.
Answer. 90 bicycles should be built per day to minimize the average cost per bicycle.
When you have a quadratic function y = ax^2 + bx + c with a > 0,
You can put this solution on YOUR website!
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The formula for the x-value of the
minimum,is: where
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The shop should build 90 bikes to minimize cost
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check:
Here's the plot:
Looks about right,
