SOLUTION: 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 on

Algebra ->  Equations -> SOLUTION: 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 on      Log On


   



Question 121570: 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 $47,736 . The variable costs will be $9.50 per book. The publisher will sell the finished product to bookstores at a price of $23 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales?
Found 2 solutions by checkley71, solver91311:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
47,736+9.50x=23x
23x-9.50x=47,736
13.5x=47,736
x=47,736/13.5
x=3,526 books are the break even number.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of books printed and sold.

The cost to the publisher is C=9.50x%2B47736

The publisher's revenue is R=23x

The question is: what is x such that C = R?

9.50x%2B47736=23x

Add -23x to both sides

-13.5x%2B47736=0

Add -47736 to both sides

-13.5x=-47736

Divide by -13.5

x=3536