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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 55,692. The variable costs will be 11.50 per book. The publisher will sell the finished product to bookstores at a price of 24.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

May 23, 2021

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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 55,692. The variable costs will be 11.50 per book. The publisher will sell the finished product to bookstores at a price of 24.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Hello Strayer!

$$x\cdot 24.25=x\cdot 11.50+55692\\ x(24.25-11.50)=55692\\ x=\dfrac{55692}{24.25-11.50}$$

$$x = 4368$$

The publisher must sell at least 4368 books.

!

May 23, 2021