Question 376031: 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 $15,248 , and the variable costs will be $25.50 per book. With the other method, the one-time fixed costs will total $71,570 , and the variable costs will be $12.00 per book. For how many books produced will the costs from the two methods be the same?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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 $15,248 , and the
variable costs will be $25.50 per book.
With the other method, the one-time fixed costs will total $71,570, and the
variable costs will be $12.00 per book.
For how many books produced will the costs from the two methods be the same?
:
Let n = number of books produced
:
Write an equation for the Cost (C) of each method:
:
1: C = 25.50n + 15248
and
2: C = 12N + 71570
:
Method 1 cost = Method 2 cost
25.50n + 15248 = 12n + 71570
25.50n - 12n = 71570 - 15248
13.5n = 56322
n = 
n = 4172 books will have the same cost
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