OHaganBooks.com generates revenue through it o'Books e-book service. Author royalties and copyright fees cost the company $2 per novel, and the monthly cost of operating and maintaining the service amounts to $496. The company is currently charging customers $8 per novel. Find the associated cost, revenue, and profit functions and use them to determine how many novels must be sold in order to make a profit. (Hint: If the break-even is where they make no profit, you must round up to make a profit.) To make a profit they must sell at least:

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Question 4

OHaganBooks.com generates revenue through it o'Books e-book service. Author royalties and
copyright fees cost the company $2 per novel, and the monthly cost of operating and maintaining
the service amounts to $496. The company is currently charging customers $8 per novel.
Find the associated cost, revenue, and profit functions and use them to determine how many novels
must be sold in order to make a profit. (Hint: If the break-even is where they make no profit, you
must round up to make a profit.)
To make a profit they must sell at least:
Transcribed Image Text:OHaganBooks.com generates revenue through it o'Books e-book service. Author royalties and copyright fees cost the company $2 per novel, and the monthly cost of operating and maintaining the service amounts to $496. The company is currently charging customers $8 per novel. Find the associated cost, revenue, and profit functions and use them to determine how many novels must be sold in order to make a profit. (Hint: If the break-even is where they make no profit, you must round up to make a profit.) To make a profit they must sell at least:
Expert Solution
Step 1

Let us assume that total number of books sold is x.

The total cost will be $2 times the number of books sold and the monthly cost of operating and maintaining service amounts.

Total Cost=2x+496

Total revenue is the total revenue earned from selling novels to the customers, which is $8 times the number of novels sold.

Total Revenue=8x

Profit is the difference between the associated cost and total revenue earned.

Profit=Total Revenue -Total Cost=8x-2x+496=8x-2x-496=6x-496

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