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Where C(x) is in hundreds Of dollars. How many bicycles should the shop build to minimize the average cost per bicycle

Where C(x) is in hundreds Of dollars. How many bicycles should the shop build to minimize-example-1
User Mohammad Umar
by
3.0k points

1 Answer

16 votes
16 votes

The average cost is given by the next equation:


C(x)=0.1x^2-0.5x+5.582

The graph of the function is

As we can see the parabola opens upwards therefore the minim will be located in the vertex


x=(-b)/(2a)

in our case

b=-0.5

a=0.1


x=(0.5)/(2(0.1))=2.5

2.5 hundred

Then


2.5*100=250

Therefore, the shop should build 250 bicycles

Where C(x) is in hundreds Of dollars. How many bicycles should the shop build to minimize-example-1
User Asgaroth
by
3.6k points