Question 224143
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 amount to $17,750 .
 The variable costs will be $12.75 per book.
 The publisher will sell the finished product to bookstores at a price of $19 per book.
How many books must the publisher print and sell so that the production costs 
will equal the money obtained from sales?
:
let n = number of books printed and sold
:
Cost equation
C = 12.75n + 17750
:
Revenue equation, (books sold at $19)
R = 19n
:
The break-even point: R = C, solve for n 
therefore
19n = 12.75n + 17750
:
19n - 12.75n = 17750
:
6.25n = 17750
n = {{{17750/6.25}}}
n = 2840 books must be printed and sold
:
:
See if that is true
19 * 2840 = $53,960
(12.75 * 2840) + 17750 =$53,960