The true statements are:
- You would recommend company B to an author who wants to print 10 books
- You would recommend company A as the bestseller to print thousand books;
What are functions?
Functions are equations that are used to represent relations and ordered pairs
The average cost functions of both companies are given as:
- Company A: [tex]c(x) = \frac{120 + 4x}{x}[/tex]
- Company B: [tex]d(x) = \frac{25 + 10x}{2x}[/tex]
(a) The average cost to print 10 books
This means that x = 10.
The average costs for both companies are calculated as follows:
[tex]c(10) = \frac{120 + 4 \times 10}{10}[/tex]
[tex]c(10) =16[/tex]
[tex]d(10) = \frac{25 + 10 \times 10}{2 \times 10}[/tex]
[tex]d(10) = 6.25[/tex]
By comparison:
[tex]6.25 < 16[/tex]
Hence, you would recommend company B to an author who wants to print 10 books;
This is so, because company B has a lower average value when x = 10
(b) Bestseller for thousands of books
We have:
- Company A: [tex]c(x) = \frac{120 + 4x}{x}[/tex]
- Company B: [tex]d(x) = \frac{25 + 10x}{2x}[/tex]
Simplify both equations
[tex]c(x) =\frac{120}{x} + 4[/tex]
[tex]d(x) =\frac{25}{2x} + 5[/tex]
The constant value in function c(x) is less than the constant value in function d(x)
i.e. 4 < 5
Hence, you would recommend company A as the bestseller to print thousand books;
Read more about average cost functions at:
https://brainly.com/question/4001746
