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 $ 31,905. The variable costs will be $ 8.50 per book. The publisher will sell the finished product to bookstores at a price of $ 19.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Question

Mathematics

Sue

25 May, 07:51

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 $ 31,905. The variable costs will be $ 8.50 per book. The publisher will sell the finished product to bookstores at a price of $ 19.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

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Answers (1)

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Pace · Answer 1

Step-by-step explanation:

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