Math  /  Algebra

Question18.2: Publishing a Paperback
Let cc be the function that gives the average cost per book c(x)c(x), in dollars, when using an online store to print xx copies of a self-published paperback book. Here is a graph of c(x)=120+4xxc(x)=\frac{120+4 x}{x}.
1. What is the approximate cost per book when 50 -books are printed? 100 books?
2. The author plans to charge $8\$ 8 per book. About how many should be printed to make a profit?
3. What is the value of c(x)c(x) when x=12x=\frac{1}{2} ? How does this relate to the context?
4. What does the end behavior of the function say about the context?

Studdy Solution
Analyze the end behavior of c(x) c(x) :
As x x \to \infty , the term 120x0 \frac{120}{x} \to 0 , so c(x)4 c(x) \to 4 .
This means that as more books are printed, the average cost per book approaches $4, which is the variable cost per book.
The solution to the problem is complete.

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