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 2$ profit %24 marginal revenue 2$ X per additional copy marginal profit 2$ X per additional copy Interpret the results. The approximate loss Vx from the sale of the 501st copy is $ (c) For which value of x is the marginal profit zero? X copies %3D Interpret your answer. The graph of the profit function is a parabola with a vertex at x = X , so the profit is at a maximum when you produce and sell X copies.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter11: Price And Output Determination: Monopoly And Dominant Firms
Section: Chapter Questions
Problem 3E
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ASK YOUR TEACHER
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
24
marginal revenue
24
X per additional copy
marginal profit
$
X per additional copy
Interpret the results.
The approximate loss
x from the sale of the 501st copy is $
(c) For which value of x is the marginal profit zero?
X =
X copies
Interpret your answer.
The graph of the profit function is a parabola with a vertex at x =
so the profit is at a maximum when you produce and sell
X copies.
Need Heln?
Transcribed Image Text:ASK YOUR TEACHER 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 24 marginal revenue 24 X per additional copy marginal profit $ X per additional copy Interpret the results. The approximate loss x from the sale of the 501st copy is $ (c) For which value of x is the marginal profit zero? X = X copies Interpret your answer. The graph of the profit function is a parabola with a vertex at x = so the profit is at a maximum when you produce and sell X copies. Need Heln?
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