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) = 60 + 0.10x + 0.001x² dollars. (a) Calculate the marginal profit function, in dollars per copy. P'(x) = (b) Compute the marginal profit, if you have produced and sold 500 copies of the latest edition. When you produce and sell 500 copies, the marginal profit is dollars per copy. Interpret the results: The approximate loss from the production and sale of the 501st copy is dollars.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
Section: Chapter Questions
Problem 11.4P
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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) = 60 + 0.10x + 0.001x² dollars.
(a) Calculate the marginal profit function, in dollars per copy.
P'(x) =
(b) Compute the marginal profit, if you have produced and sold 500 copies of the latest edition.
When you produce and sell 500 copies, the marginal profit is
dollars per copy.
Interpret the results:
The approximate loss
from the production and sale of the 501st
сорy is
dollars.
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) = 60 + 0.10x + 0.001x² dollars. (a) Calculate the marginal profit function, in dollars per copy. P'(x) = (b) Compute the marginal profit, if you have produced and sold 500 copies of the latest edition. When you produce and sell 500 copies, the marginal profit is dollars per copy. Interpret the results: The approximate loss from the production and sale of the 501st сорy is dollars.
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