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). There are two production methods it could use. With one method, the one-time fixed costs will total $ 22,300, and the variable costs will be $ 24 per book. With the other method, the one-time fixed costs will total $ 88,480, and the variable costs will be $ 9 per book. For how many books produced will the costs from the two methods be the same?

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Mathematics

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10 May, 09:39

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). There are two production methods it could use. With one method, the one-time fixed costs will total $ 22,300, and the variable costs will be $ 24 per book. With the other method, the one-time fixed costs will total $ 88,480, and the variable costs will be $ 9 per book. For how many books produced will the costs from the two methods be the same?

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Leilani Park · Answer 1

22300+24b=88480+9b subtract 9b from both sides

22300+15b=88480 subtract 22300 from both sides

15b=66180 divide both sides by 15

b=4412

So producing 4412 books cost the same with either method of production.

Jayleen Castillo · Answer 2

Books cost the same with either method of production 4412