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An online bookseller has decided to try to generate additional revenue by creating an online publishing service. Authors can upload their novels to the online site and readers can download the books for a fee Author royalties and copyright fees cost the bookseller an average of $2 per novel, and the monthly cost of operating and maintaining the service amounts to $1000 per month. The company is currently charging readers $7.50 per novel. a. What are the associated cost, revenue, and profit functions? (Use the variable n for the number of novels sold.) Cost: C(n) = Revenue: R(n) = Profit: P(n) = b. Find and interpret C(20), R(20) and P(20). c. How many novels must be sold per month in order to make a profit?

An online bookseller has decided to try to generate additional revenue by creating an online publishing service. Authors can upload their novels to the online site and readers can download the books for a fee Author royalties and copyright fees cost the bookseller an average of $2 per novel, and the monthly cost of operating and maintaining the service amounts to $1000 per month. The company is currently charging readers $7.50 per novel. a. What are the associated cost, revenue, and profit functions? (Use the variable n for the number of novels sold.) Cost: C(n) = Revenue: R(n) = Profit: P(n) = b. Find and interpret C(20), R(20) and P(20). c. How many novels must be sold per month in order to make a profit?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. An online bookseller has decided to try to generate additional revenue by creating an online publishing service. Authors can upload their novels to the online site and readers can download the books for a fee Author royalties and copyright fees cost the bookseller an average of $2 per novel, and the monthly cost of operating and maintaining the service amounts to $1000 per month. The company is currently charging readers $7.50 per novel. a. What are the associated cost, revenue, and profit functions? (Use the variable n for the number of novels sold.) Cost: C(n) = Revenue: R(n) = Profit: P(n) = b. Find and interpret C(20), R(20) and P(20). c. How many novels must be sold per month in order to make a profit? d. How many novels must be sold per month in order to make $350 of profit? e. What value of n will make R(n) = 400? What does your answer mean in terms of numbers of novels sold and revenue?
Transcribed Image Text:1. An online bookseller has decided to try to generate additional revenue by creating an online publishing service. Authors can upload their novels to the online site and readers can download the books for a fee Author royalties and copyright fees cost the bookseller an average of $2 per novel, and the monthly cost of operating and maintaining the service amounts to $1000 per month. The company is currently charging readers $7.50 per novel. a. What are the associated cost, revenue, and profit functions? (Use the variable n for the number of novels sold.) Cost: C(n) = Revenue: R(n) = Profit: P(n) = b. Find and interpret C(20), R(20) and P(20). c. How many novels must be sold per month in order to make a profit? d. How many novels must be sold per month in order to make $350 of profit? e. What value of n will make R(n) = 400? What does your answer mean in terms of numbers of novels sold and revenue?
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