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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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