Don't know where to start on this story problem. :/ 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^2-0.5x+9.416, 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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Don't know where to start on this story problem. :/ 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^2-0.5x+9.416, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Are you in calculus, or algebra. Cal solution: deferentiate, solve for x: lowest value is answer
i don't want to guess and check because i feel like that would take a very long time. and i dont know how else to figure it out.
it's algebra 2, but my tutor is in calculus and she's just as bad with story problems as me

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how would you differentiate c(x)? would it just be my dy/dx basically?
Avoid the calculus, it is easy but not something you have covered. Just find the vertex as in your previous problem. That would be the min value of x. (Calculus is really for complex problems that can not necessarily be easily deduced.)
i don't really understand how to find the vertex.
Vertex is -b/2a
yeah i forgot about that. i got it. thanks. i keep forgetting to use that formula. makes things difficult.

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