Suppose that for x > 1000, the dollar cost of producing x video cam- eras is C(x) = 500x – 0.003x² + 10¬8x'. (a) Estimate the marginal cost at production level x = 5000 and compare it with the actual cost C(5001) – C(5000). (b) Compare the marginal cost at x = 5000 with the average cost per cam- era, defined as C(x)/x.

Suppose that for x > 1000, the dollar cost of producing x video cam- eras is C(x) = 500x – 0.003x² + 10¬8x'. (a) Estimate the marginal cost at production level x = 5000 and compare it with the actual cost C(5001) – C(5000). (b) Compare the marginal cost at x = 5000 with the average cost per cam- era, defined as C(x)/x.

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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