Aki’s Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.2x^2 – 1.4x + 6.676, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

shopshould build 275bicyclestominimizetheaverage costperbicycle## What is a function?

Functionis a type of relation, or rule, thatmapsoneinputto specific singleoutput.average costperbicycleas thefunction;solvethis by finding thederivativeof the C(x)functionwhich will give us theinstantaneous slope.derivativeof C(x) will be;zero, we can find theextremas.minimumofmaximum, we need to find the secondderivativeof C(x)positive value, which means thecritical pointis aminimum.hundredsofbicycles.bikesfunctionhere: