A small publishing company is planning to publish a new book. The production cost will include one-time fixed cost (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $18,648, ad the variable costs will be $23.50. With the other method, the one time fix costs will total $83,556, and the variable costs will be $10 per book. For how many books produced will the costs from the two methods be?

Question

Quincy

Mathematics

8 February, 05:42

A small publishing company is planning to publish a new book. The production cost will include one-time fixed cost (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $18,648, ad the variable costs will be $23.50. With the other method, the one time fix costs will total $83,556, and the variable costs will be $10 per book. For how many books produced will the costs from the two methods be?

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Answers (1)

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Ahmed Malone · Answer 1

For the cost to be the same:

18648+23.5b=83556+10b subtract 10b from both sides

18648+13.5b=83556 subtract 18648 from both sides

13.5b=64908 divide both sides by 13.5

b=4808

So if 4808 books are produced the cost of both methods is the same.