Question

The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 wheels can be produced each day. What production level will give the lowest average cost per​ wheel? What is the minimum average​ cost?

Answer 1

So all you need to do if find the min of the function:

f(x)=0.04x^3-4x^2-176x
f'(x)=0.12x^2-8x-176
The only zero for this is x=84.105 <---first
Plug this into f(x) to get f(84.105)=-19300 <---second