Answer:
100 bicycles
Step-by-step explanation:
If C(x)= 0.2x²-0.4x+6.636
The general form of a quadratic expression is given as: ax²+bx+c
Therefore from C(x),
a=0.2, b=-0.4, c=6.636.
C(x) is a parabola with its "a" coefficient 0.2 being positive so the curve opens upward indicating that the vertex is a minimum.
We simply need to find the vertex of:
C(x)= 0.2x²-0.4x+6.636
This occurs when:
x = -b/(2a)
x = -(-0.4)/(2*0.2)
x = (0.4)/(0.4)
x = 1
Since x=1 at the vertex, the company should build 100 bicycles to minimize the average cost per bicycle.
