Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 50+0.10x + 0.001x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. $ revenue $ profit marginal revenue $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate ---Select--- ✓ from the sale of the 501st copy is $ ---Select--- profit l profit zero? (c) For which value of x is loss x = copies Interpret your answer. The graph of the profit function is a parabola with a vertex at x = copies. so the profit is at a maximum when you produce and sell
Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 50+0.10x + 0.001x2 dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. $ revenue $ profit marginal revenue $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate ---Select--- ✓ from the sale of the 501st copy is $ ---Select--- profit l profit zero? (c) For which value of x is loss x = copies Interpret your answer. The graph of the profit function is a parabola with a vertex at x = copies. so the profit is at a maximum when you produce and sell
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
Related questions
Question
![Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by
C(x) = 50+0.10x + 0.001x2 dollars.
(a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.]
R'(x) =
P'(x) =
(b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition.
$
revenue
$
profit
marginal revenue $
per additional copy
marginal profit
$
per additional copy
Interpret the results.
The approximate ---Select--- ✓ from the sale of the 501st copy is $
---Select---
profit
l profit zero?
(c) For which value of x is loss
x =
copies
Interpret your answer.
The graph of the profit function is a parabola with a vertex at x =
copies.
so the profit is at a maximum when you produce and sell](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F54cd7557-de6f-4af4-8ae2-06fb3ac34f96%2F7c782c60-95cd-453f-ae82-87bd1e42101a%2Fkizo499_processed.png&w=3840&q=75)
Transcribed Image Text:Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by
C(x) = 50+0.10x + 0.001x2 dollars.
(a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.]
R'(x) =
P'(x) =
(b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition.
$
revenue
$
profit
marginal revenue $
per additional copy
marginal profit
$
per additional copy
Interpret the results.
The approximate ---Select--- ✓ from the sale of the 501st copy is $
---Select---
profit
l profit zero?
(c) For which value of x is loss
x =
copies
Interpret your answer.
The graph of the profit function is a parabola with a vertex at x =
copies.
so the profit is at a maximum when you produce and sell
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