The cost (dollars) of making x units of a good is modeled by () = 32^2+400 / x + 5 ( 0).

(a) Evaluate lim x-> infinity () / (with units) and interpret what it means. [(() / is the average cost function].

(b) What does ^(1)(1000) mean?

(c) Calculate ^(1)(1000). Hint: Think of ^1($1000). You only want this and don't have to find the whole inverse function of ().