SOLUTION: 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 on

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Question 178255: 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 amount to 54,150 . The variable costs will be 12.50 per book. The publisher will sell the finished product to bookstores at a price of $25.00 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales?

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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 amount to 54,150 . The variable costs will be 12.50 per book. The publisher will sell the finished product to bookstores at a price of $25.00 per book. How many books must the publisher print and sell so that the production costs will equal the money obtained from sales?
;
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