SOLUTION: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.5x^2 - 1.5x + 6.736, where c(x) is in hundreds of doll

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.5x^2 - 1.5x + 6.736, where c(x) is in hundreds of doll      Log On


   

Question 473026: Aki's Bicycle Design has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.5x^2 - 1.5x + 6.736, where c(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
The shop should build ____ bicycles.
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
For a positive quadratic equation which has an upward parabola, the minimum value is at the vertex.
To find the vertex of a parabola use formula formula for finding line of symmetry when equation is in standard form.
x+=+%28-b%29%2F2a
x+=+%28-%28-1.5%29%29%2F%282%28.5%29%29
x+=+1.5
remember x is in hundreds
Therefore to minimize avg cost, 150 bicycles should be built