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 30,814
. The variable costs will be 11.50
per book. The publisher will sell the finished product to bookstores at a price of 19.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answer 1

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Define x :
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Let x be the number of books.

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Find cost of the books:
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30814 + 11.5x 

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Find Sales of the books :
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19.25x

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Find the number of books needed :
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30814 + 11.5x = 19.25x
19.25x - 11.5x = 30814
7.75x = 30814
x = 3976

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Answer: 3876 books
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