algebra

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AKI'S bicycyle designs has determined that when x hundreds bicycles are built the average cost per bike is given C(x)=0.1x^2-1.4x+10.766. 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.

  • algebra -

    C(x) = 0.1x^2 - 1.4x + 10.766.

    The min. point on the parabola is the
    vertex which represents min. cost:

    V(x,C).

    Xv = -B/2A = -1.4 / 0.2 = 7 Hundreds =
    700 Bikes.

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