Question

A manufacturer estimates that he uses x machines to produce a given number of items, the cost of production will be C (x) = 20x + (2000 / x) dollars.1)What is the domain of the C function in the context? And overall?2) Considering the function as a whole, find the asymptotes and then draw its curve.

Answer 1

findsAs given by the question

There are given that the function

$C(x)=20x+(\frac{2000}{x})$

Now,

The domain of the given function is:

The domain of the given function that finding where the expression is defined.

So,

The defined expression in the interval notation is shown below:

$(-\infty,0)\cup(0,\text{ }\infty)$