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 $43,654 . The variable costs will be $10.25 per book. The publisher will sell the finished product to bookstores at a price of $21.75 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 = no. of books

:

Cost = 12.50x + 54150

:

Revenue = 25x

:

Rev = cost

25x = 12.5x + 54150

25x - 12.50x = 54150

12.5x = 54150

x = 54150%2F12.5

x = 4332 books need to be sold to cover production costs

:

:

Check:

c = 12.50(4332) + 54150

c = 54150 + 54150

c = 108300

:

r = 25(4332)

r = 108300

I found this on another website but i'm pretty sure its correct gl