Question

a small publishing company is planning to publish a new book the production cost will include one-time fixed cost and variable coststhe one time fixed cost will cost a total of $46,552 the variable cost will be $12.75 per book The Publisher will sell the finished product to book stores at a price of $23.75 her book how many books must have publisher produce and sellso that the production cost for equal the money from sales ​

Answer 1

The publisher must produce and sell approximately 4,232 books in order to cover the production cost from the sales revenue.

Step-by-step explanation:

To calculate the number of books the publisher must produce and sell in order to cover the production cost, we need to determine how much money the sales will generate. The price at which the publisher will sell each book to bookstores is $23.75. So, if the publisher produces and sells 'x' number of books, the sales revenue will be $23.75 * 'x'.

The production cost includes a one-time fixed cost of $46,552 and a variable cost of $12.75 per book. The total production cost will be the sum of the fixed cost and the variable cost per book multiplied by the number of books produced, which is $46,552 + ($12.75 * 'x').

To find the number of books required to cover the production cost, we need to set the sales revenue equal to the production cost and solve for 'x':

$23.75 * 'x' = $46,552 + ($12.75 * 'x')

Simplifying the equation:

$23.75 * 'x' - $12.75 * 'x' = $46,552

$11 * 'x' = $46,552

'x' = $46,552 / $11

'x' ≈ 4,232

The publisher must produce and sell approximately 4,232 books in order to cover the production cost from the sales revenue.