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

$

23,496
. The variable costs will be

$

12
per book. The publisher will sell the finished product to bookstores at a price of

$

20.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
@sleepyjess

Question

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 



$

23,496
. The variable costs will be 



$

12
 per book. The publisher will sell the finished product to bookstores at a price of 



$

20.25
 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales? 
@sleepyjess

anonymous · Answer

@sleepyjess

anonymous · Answer

if anyone is viewing this please message me because my computer is slow and I really need help with math thank you!

thesmartone · Answer

$\sf You~ were~ given:$

The one-time fixed costs will total 



$

23,496
. The variable costs will be 



$

12
 per book. 

$\sf Make~an~equation~out~of~that$

anonymous · Answer

$23,496+12x @TheSmartOne

thesmartone · Answer

correct

thesmartone · Answer

x is the number of books needed to be made.

thesmartone · Answer

$\sf\Large 20.25= \frac{12x + 23,496}{x}$

thesmartone · Answer

Solve for x.

anonymous · Answer

@TheSmartOne so I just divide the 20.25=12x+23,496/x

thesmartone · Answer

12x/x = 12

So, you have:

20.25=12+23,496/x 

solve for x.