11. The profit, P, in dollars, of a company is a function of the number of tons of cement, C, it has produced and is given by: P(C) = 2000C – C² -1000 a. At what rate, with respect to the number of tons of cement produced, is the profit changing when 500 tons have been produced? b. The number of tons of cement produced is changing at a rate of 100 tons/minute. At what rate, with respect to time, is the profit changing when 500 tons have been produced?

11. The profit, P, in dollars, of a company is a function of the number of tons of cement, C, it has produced and is given by: P(C) = 2000C – C² -1000 a. At what rate, with respect to the number of tons of cement produced, is the profit changing when 500 tons have been produced? b. The number of tons of cement produced is changing at a rate of 100 tons/minute. At what rate, with respect to time, is the profit changing when 500 tons have been produced?

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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