3. A newspaper company currently charges $6 per week to its subscribers, but is considering raising their price. The company found that their weekly revenue R can be modeled by the function R(x) =-750(x – 40)(x+ 20) where x is the number of $0.25 increases in the weekly price. a. What is the maximum weekly revenue that can be expected for this company? How do you know? b. What weekly price would generate the maximum weekly revenue for the newspaper? Show all work.

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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3. A newspaper company currently charges $6 per week to its subscribers, but is considering raising
their price. The company found that their weekly revenue R can be modeled by the function R(x)
=-750(x – 40)(x + 20) where x is the number of $0.25 increases in the weekly price.
а.
What is the maximum weekly revenue that can be expected for this company? How do you
know?
b. What weekly price would generate the maximum weekly revenue for the newspaper? Show
all work.
Transcribed Image Text:3. A newspaper company currently charges $6 per week to its subscribers, but is considering raising their price. The company found that their weekly revenue R can be modeled by the function R(x) =-750(x – 40)(x + 20) where x is the number of $0.25 increases in the weekly price. а. What is the maximum weekly revenue that can be expected for this company? How do you know? b. What weekly price would generate the maximum weekly revenue for the newspaper? Show all work.
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