Homework Help: algebra

Posted by Randy on Friday, July 6, 2012 at 4:20pm.

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 - Henry, Sunday, July 8, 2012 at 3:49pm
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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