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 45,292 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $25.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

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 45,292  . The variable costs will be  $9 per book. The publisher will sell the finished product to bookstores at a price of $25.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

anonymous · Answer

Hi there.  Let's start with the easy part.  If they sell B books, and make $25.75 per book, what's the total money they take in from book sales?

anonymous · Answer

(Do you want to work through this to learn it, or just get an answer?)

lilg132 · Answer

45,292 + 9x = 25.75x

45,292 = 25.75x - 9x

45,292 = 16.75x

45,292/16.75 = 16.75x / 16.75

2704 = x

so she will need to sell 2704 to break even

to check just use the value of x in the equation

45,292 + 9(2704) = 25.75(2704)

45,292 + 24,336 = 69,628

69,628 = 69,628

remember to click good answer

anonymous · Answer

aww i was doing it backwards!