Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 + 0.8q² + %3D and the demand function of the product is: p(x) = 200 - 0.05q %3D a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Here is the production cost function, in $ of producing q units of a product:
2200
C(q) = 300 + 0.8q2 +
and the demand function of the product is:
p(x) = 200 - 0.05q
a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150?
b. Interpret the results of the calculation in part (a) if it is related to cost, revenue
and profit?
Transcribed Image Text:Here is the production cost function, in $ of producing q units of a product: 2200 C(q) = 300 + 0.8q2 + and the demand function of the product is: p(x) = 200 - 0.05q a. Determine the marginal cost, marginal revenue and marginal profit when q=50 and q=150? b. Interpret the results of the calculation in part (a) if it is related to cost, revenue and profit?
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