A cable TV company has 3,400 customers paying $90 each month. Suppose each $1 reduction in price attracts 50 new customers. Let x represent the amount of reduction in price (in dollars). Find R(x), the total revenue function (in dollars). R(x) = Find R'(x). R'(x) = Find the price that yields maximum revenue. $ Find the maximum revenue.
A cable TV company has 3,400 customers paying $90 each month. Suppose each $1 reduction in price attracts 50 new customers. Let x represent the amount of reduction in price (in dollars). Find R(x), the total revenue function (in dollars). R(x) = Find R'(x). R'(x) = Find the price that yields maximum revenue. $ Find the maximum revenue.
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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![**Problem Statement:**
A cable TV company has 3,400 customers paying $90 each month. Suppose each $1 reduction in price attracts 50 new customers. Let \( x \) represent the amount of reduction in price (in dollars).
**Tasks:**
1. **Find \( R(x) \)**, the total revenue function (in dollars).
\( R(x) = \) [Input box]
2. **Find \( R'(x) \).**
\( R'(x) = \) [Input box]
3. **Find the price that yields maximum revenue.**
$ [Input box]
4. **Find the maximum revenue.**
$ [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F125111cc-25a5-4f05-886d-ef1bfa459fc8%2Fb26f48ca-82ac-44a5-9210-6d0192164b43%2Fmg2rzb_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A cable TV company has 3,400 customers paying $90 each month. Suppose each $1 reduction in price attracts 50 new customers. Let \( x \) represent the amount of reduction in price (in dollars).
**Tasks:**
1. **Find \( R(x) \)**, the total revenue function (in dollars).
\( R(x) = \) [Input box]
2. **Find \( R'(x) \).**
\( R'(x) = \) [Input box]
3. **Find the price that yields maximum revenue.**
$ [Input box]
4. **Find the maximum revenue.**
$ [Input box]
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