Question

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing)The one time fixed costs will total $29.822 . The variable costs will be $11.75 per book. The publisher will sell the finished product to bookstores at a price of 18.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answer 1

Let

x -----> the number of books

we have that

the function cost is equal to

C(x)=29,822+11.75x

the money from the sales function is equal to

S(x)=18.25x

equate both equations

18.25x=29,822+11.75x

solve for x

18.25x-11.75x=29,822

6.5x=29,822

x=4,588 books