The cost (in dollars) of producing x units of a certain commodity is C(x) = 4000 + 13x + 0.8x². (a) Find the average rate of change of C with respect to æ when the production level is changed (i) from x = 100 to x = 105. Average rate of change = (ii) from x = 100 to x = 101. Average rate of change = (b) Find the instantaneous rate of change of C with respect to æ when a = 100. (This is called the marginal cost.) Instantaneous rate of change :

The cost (in dollars) of producing x units of a certain commodity is C(x) = 4000 + 13x + 0.8x². (a) Find the average rate of change of C with respect to æ when the production level is changed (i) from x = 100 to x = 105. Average rate of change = (ii) from x = 100 to x = 101. Average rate of change = (b) Find the instantaneous rate of change of C with respect to æ when a = 100. (This is called the marginal cost.) Instantaneous rate of change :

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

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