Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x2 - 1.6x + 6.504, where C(x) is in hundreds of dollars. How many...

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Extracted text: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x2 - 1.6x + 6.504, 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.


Extracted text: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.2x2 – 2.3x + 10.357, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? The function C(x) gives the average cost per bicycle when x hundred bicycles are made. Notice that this is a quadratic function where the coefficient of x2 is positive. Therefore, the minimum value will occur at the vertex. b Find the x-coordinate of the vertex. 2a Recall that the x-coordinate of the vertex of a parabola is b (- 2.3) 2a 2(0.2) = 5.75 Remember that x represents bicycles, in hundreds. Determine how many bicycles are represented by x = 5.75. 5.75 • 100 = 575 bicycles Thus, the shop should build 575 bicycles to minimize the average cost per bicycle.