Answer:
20 Bicycles
Step-by-step explanation:
The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:
[tex]C(x)=0.5x^2-0.2x+6.756[/tex]
The minimum value of C occurs at the axis of symmetry.
Axis of Symmetry, [tex]x=-\frac{b}{2a}[/tex]
Comparing with the standard form of a quadratic equation [tex]ax^2+bx+c=0[/tex]
a=0.5, b=-0.2
[tex]x=-\frac{(-0.2)}{2*0.5}\\x=0.2[/tex]
x=0.2 Hundreds =0.2 X 100 =20
When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.
