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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
$60,239
. The variable costs will be
$10.50
per book. The publisher will sell the finished product to bookstores at a price of
$25.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Sagot :

mathlovingguy
assume the number of books X

the cost of the books = 60.239 + (10.50 X)
the sale amount = 25.25 * X

so 60.239 + 10.5 X = 25.25 X
60.239 = (25.25 - 10.5)X
60.239 = 14.75 X
X = 60.239 / 14.75

So X = 4.084 
so the publisher needs to sell 4 books
apologiabiology
so the total=60239
so 10.5 per book
but -25.25 per book (since this is a negative cost or a gain)
so lets say they sell 1 book
it cost 10.5 and they gain 25.25 so they gain 14.75 total per book


so 14.75 times x books=60239
divide both sdies by 14.75
x=60239/14.75
then divide 60239 by 14.75 and get x=4084
they will need to sell 4084 books
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