Publishing costs: A small publisher plans to spend $1000 for advertising a paperback book and estimates the printing cost is $2.50 per book. The publisher will receive $7 for each book sold. a. Find the fu? cti?? ? = ?f? )that gives the cost of pro? ucing ?x books. b. Find the func?ti? n ?R = g(?x)that gives the revenue fro? selling ? books. c. Graph the cost and revenue functions and find the number of books that must be sold for the publisher to break even.
Step-by-step solution 12RE Step 1 a) We need to find the function C = f(x) that gives the cost of producing x books with the given information. Step 2 To find the cost function, we add all costs the publisher spends on publishing the books. Given that the cost of printing a book is $2.50 per book, the total cost of printing x books would be $2.50x. It is also given that $1000 is spent for advertising the book. Thus, the total cost of producing books is given by the function: C(x) = 2.5x + 1000 Step 3 b) We need to find the function R = g(x) that gives the revenue from selling x goods. Step 4 It is given that the revenue earned by selling one book is $7. So, by selling x books, the revenue earned is given by the function: R(x) = 7x
