Problema 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). There are two production methods it could use. With one method, the one-time fixed costs will total

$20,310

, and the variable costs will be

$19.50

per book. With the other method, the one-time fixed costs will total

$36,982

, and the variable costs will be

$11.50

per book. For how many books produced will the costs from the two methods be the same?

Answer provided by our tutors

Let 'x' represent the number of books.

20,310 + 19.50x = 36,982 + 11.50x

........

click here to see the equation solved for x

........

x = 2084 books

For 2084 books the two methods cost the same.